Mathematics › Properties of Triangle
Properties of Triangle Questions
102 questions across 7 subtopics — with step-by-step solutions.
Ambiguous case of triangle(8)
- In a triangle ABC, if a=2\sqrt{3} , b=6 an... | Mathematics | TestHub
- In a \triangle ABC , if a=6 , b=8 and \ang... | Mathematics | TestHub
- For a triangle with given sides a, b and a... | Mathematics | TestHub
- Let ABC and A B C^{1} be two non congruent... | Mathematics | TestHub
- If A=30^{\circ}, a=7 and \mathrm{b}=8 in \... | Mathematics | TestHub
- In triangle \mathrm{ABC} a=\sqrt{5} ; b=2... | Mathematics | TestHub
- In a \triangle A B C sides b, c \angle C a... | Mathematics | TestHub
- There exists a triangle ABC satisfying the... | Mathematics | TestHub
General (basic formula based)(28)
- In a triangle ABC , if r_a + r_b + r_c = 9... | Mathematics | TestHub
- In a triangle ABC , if a \cos A + b \cos B... | Mathematics | TestHub
- In a triangle ABC , if the angles A, B, C... | Mathematics | TestHub
- In a \triangle ABC , if a \cos A + b \cos... | Mathematics | TestHub
- In a triangle ABC , if r_a r_b = r r_c , w... | Mathematics | TestHub
- In a triangle ABC , if a^2+b^2+c^2 = 8R^2... | Mathematics | TestHub
- In a \triangle ABC , if (a+b+c)(a+b-c) = 3... | Mathematics | TestHub
- In a triangle ABC, if a=5 , b=7 , c=8 , th... | Mathematics | TestHub
- In a triangle ABC , the sides are a=3 , b=... | Mathematics | TestHub
- In a triangle ABC, if \angle A = 45^\circ... | Mathematics | TestHub
- In a triangle ABC , if A=30^{\circ} , B=60... | Mathematics | TestHub
- In a \triangle ABC , if the angles A, B, C... | Mathematics | TestHub
- In a triangle A B C with sides a, b and c,... | Mathematics | TestHub
- If in a triangle \mathrm{ABC}, b \cos ^{2}... | Mathematics | TestHub
- In a triangle, the lengths of the two larg... | Mathematics | TestHub
- The angles of a \triangle A B C satisfy. \... | Mathematics | TestHub
- In \triangle \mathrm{ABC} if \angle \mathr... | Mathematics | TestHub
- In \triangle \mathrm{ABC} if \cos \mathrm{... | Mathematics | TestHub
- In a \triangle A B C, a=5, b=4 and \tan \f... | Mathematics | TestHub
- In a \triangle \mathrm{ABC}, \mathrm{a}, \... | Mathematics | TestHub
- In \triangle A B C .3 a=b+c then \cot \mat... | Mathematics | TestHub
- In a \triangle A B C , the angles A, B, C... | Mathematics | TestHub
- If p_{1}, p_{2} and p_{3} are the altitude... | Mathematics | TestHub
- If the sides a, b, c of a \triangle A B C... | Mathematics | TestHub
- In a triangle ABC , the foot of the perpen... | Mathematics | TestHub
- A circle of radius 4 cm is inscribed in \t... | Mathematics | TestHub
- Let ABC be a triangle with altitudes \math... | Mathematics | TestHub
- Let the lengths of the altitudes drawn fro... | Mathematics | TestHub
Length of angle bisector and median / Dist. between sp. Points(18)
- In a \triangle ABC , if m_a, m_b, m_c are... | Mathematics | TestHub
- In a triangle ABC , if the sides are a=5 ,... | Mathematics | TestHub
- In a triangle ABC, if a=3 , b=4 , c=5 , fi... | Mathematics | TestHub
- In a \triangle ABC , if a=7, b=8, c=9 , fi... | Mathematics | TestHub
- In a triangle ABC, if a=6 , b=8 , c=10 , f... | Mathematics | TestHub
- If length of the side BC of a \triangle \m... | Mathematics | TestHub
- Let \mathrm{AD}, \mathrm{BE}, \mathrm{CF}... | Mathematics | TestHub
- If in \triangle \mathrm{ABC} , circle with... | Mathematics | TestHub
- In a triangle ABC with usual notations, th... | Mathematics | TestHub
- If ' l ' is the median from the vertex A t... | Mathematics | TestHub
- In a triangle \mathrm{ABC}, \mathrm{CH} an... | Mathematics | TestHub
- If the median A D of triangle A B C makes... | Mathematics | TestHub
- If A D and A D^{\prime} are the internal a... | Mathematics | TestHub
- In a triangle ABC , length of the bisector... | Mathematics | TestHub
- The ratios of the lengths of the sides B C... | Mathematics | TestHub
- If B=60^{\circ}, C=45^{\circ} and D divide... | Mathematics | TestHub
- The triangle ABC has \angle \mathrm{A}=60^... | Mathematics | TestHub
- Points D, E are taken on the side B C of a... | Mathematics | TestHub
Miscellaneous/Mixed (Include Hight & Distance)(14)
- In a \triangle ABC , if a^2, b^2, c^2 are... | Mathematics | TestHub
- In a triangle ABC, the sides are a=13 , b=... | Mathematics | TestHub
- In a \triangle ABC , if \cot A + \cot B +... | Mathematics | TestHub
- A ladder of length 10 \text{ m} leans agai... | Mathematics | TestHub
- In a \triangle ABC , if h_a, h_b, h_c are... | Mathematics | TestHub
- In a triangle ABC , if side b=8 , side c=1... | Mathematics | TestHub
- In triangle ABC if 2 a^{2} b^{2}+2 b^{2} c... | Mathematics | TestHub
- Given an isosceles triangle with equal sid... | Mathematics | TestHub
- The length of the segment AK is \_\_\_\_ (... | Mathematics | TestHub
- AP is equal to | Mathematics | TestHub
- The area of a cyclic Quadrilateral A B C D... | Mathematics | TestHub
- Find the point inside a \Delta from which... | Mathematics | TestHub
- If a, b, c are sides of a triangle satisfy... | Mathematics | TestHub
- Given a parallelogram whose acute angle is... | Mathematics | TestHub
Orthocentre, pedal triangle based(7)
- In an acute-angled triangle ABC, if H is t... | Mathematics | TestHub
- The orthocentre of the triangle with verti... | Mathematics | TestHub
- In a \triangle ABC , if H is the orthocent... | Mathematics | TestHub
- In an acute-angled \triangle ABC , if O is... | Mathematics | TestHub
- In a \triangle A B C , perpendiculars are... | Mathematics | TestHub
- ABC is an acute angle triangle, \angle \ma... | Mathematics | TestHub
- If the orthocenter of an isosceles triangl... | Mathematics | TestHub
Regular Polygon(4)
r1,r–R formula based(23)
- In a \triangle ABC , if r_1, r_2, r_3 are... | Mathematics | TestHub
- In a triangle ABC , if R is the circumradi... | Mathematics | TestHub
- In a triangle ABC, if r_1, r_2, r_3 are th... | Mathematics | TestHub
- In a right-angled triangle ABC with the ri... | Mathematics | TestHub
- In a \triangle ABC , if R is the circumrad... | Mathematics | TestHub
- In a \triangle ABC , if r_1 = r + r_2 + r_... | Mathematics | TestHub
- In a triangle ABC, if r is the inradius an... | Mathematics | TestHub
- In \triangle \mathrm{ABC} if \angle C=90^{... | Mathematics | TestHub
- If a right angled \triangle A B C of maxim... | Mathematics | TestHub
- The in-circle of \triangle A B C touches s... | Mathematics | TestHub
- With usual notation in triangle ABC , the... | Mathematics | TestHub
- Consider a triangle ABC and let \mathrm{a}... | Mathematics | TestHub
- The lengths of the tangents drawn from the... | Mathematics | TestHub
- Triangle A B C is right - angled at point... | Mathematics | TestHub
- In \triangle A B C , if r_{1}=6, R=5, r=2... | Mathematics | TestHub
- The radii \mathrm{r}_{1}, \mathrm{r}_{2},... | Mathematics | TestHub
- If I be the incentre of triangle ABC and \... | Mathematics | TestHub
- In \triangle \mathrm{ABC}, \frac{\mathrm{r... | Mathematics | TestHub
- In \triangle A B C \frac{\left(r_{1}+r_{2}... | Mathematics | TestHub
- If the circumcentre of triangle ABC lies o... | Mathematics | TestHub
- The in-circle of \triangle A B C touches s... | Mathematics | TestHub
- In \triangle \mathrm{ABC} , if R(a+b)=c \s... | Mathematics | TestHub
- If in a triangle \mathrm{ABC}, \cos \mathr... | Mathematics | TestHub
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