C-16-Q011mediumsingle_mcq

If two sides of a triangle are $a$ and $b$ and the included angle is $C$ , the area equals —

a $\dfrac{1}{2}ab\cos C$
b $\dfrac{1}{2}ab\sin C$
c $ab\sin C$
d $\dfrac{1}{2}ab\tan C$

ব্যাখ্যা

The standard trigonometric area formula for a triangle uses two sides and the sine of their included angle: $\text{Area} = \frac{1}{2}ab\sin C$ . The sine factor captures the perpendicular height component of one side relative to the other.

এই অধ্যায়ের আরও প্রশ্ন

Chapter 16: Mensuration — সব প্রশ্ন দেখুন (210টি) →

If two sides of a triangle are $a$ and $b$ and the included angle is $C$ , the area equals —

\dfrac{1}{2}ab\cos C

\dfrac{1}{2}ab\sin C

ab\sin C

\dfrac{1}{2}ab\tan C

If two sides of a triangle are aaa and bbb and the included angle is CCC, the area equals —

ব্যাখ্যা

এই অধ্যায়ের আরও প্রশ্ন

If two sides of a triangle are aaa and bbb and the included angle is CCC, the area equals —

ব্যাখ্যা

এই অধ্যায়ের আরও প্রশ্ন

If two sides of a triangle are $a$ and $b$ and the included angle is $C$ , the area equals —

If two sides of a triangle are $a$ and $b$ and the included angle is $C$ , the area equals —