Match each classification. “Is” asks for a forced general type; “may be” asks for every achievable type. List I List II (A) If cos A=sin B/(2sin C), the triangle is ... (P) isosceles (B) If (cos A+2co

Question

Match each classification. “Is” asks for a forced general type; “may be” asks for every achievable type.

List I	List II
(A) If cos A=sin B/(2sin C), the triangle is ...	(P) isosceles
(B) If (cos A+2cos C sin B)/(cos A+2cos B sin C)=sin B/sin C, the triangle may be ...	(Q) obtuse angled
(C) If 2cos A/a+cos B/b+2cos C/c=a/(bc)+b/(ca), the triangle is ...	(R) right angled
(D) If ( $a^{2}$ - $b^{2}$ )/( $a^{2}$ + $b^{2}$ )=sin(A-B)/sin(A+B), the triangle may be ...	(S) acute angled
	(T) equilateral

Options:

Answer:

B

Solution:

A gives a=c. In B, cross-multiplication gives either A=90° or B=C; choosing equal base angles realizes all listed types. C simplifies to $a^{2}$ = $b^{2}$ + $c^{2}$ . In D, either A=B or C=90°, again allowing all five listed types.

TestHub · Accepted Answer

A gives a=c. In B, cross-multiplication gives either A=90° or B=C; choosing equal base angles realizes all listed types. C simplifies to a 2 = b 2 + c 2 . In D, either A=B or C=90°, again allowing all five listed types.

Mathematics - Properties of Triangle Question with Solution | TestHub

Options:

Doubts & Discussion