If an angle of a triangle remains unchanged but each of its two including sides is doubled, then by what… · ABC26GN4498
Subject: General Aptitude · Chapter: Area
If an angle of a triangle remains unchanged but each of its two including sides is doubled, then by what factor does the area get multiplied?
(a)2
(b)3
(c)4
(d)6
Answer
Answer (as printed): C
Explanation
Original area $=\frac{1}{2} a b \sin \theta$. $$\begin{aligned} \text { New area } & =\frac{1}{2} \times(2 a) \times(2 b) \sin \theta=4\left(\frac{1}{2} a b \sin \theta\right) \\ & =4 \times \text { original area. } \end{aligned}$$
Explanation as extracted from the printed page; notation may be imperfect.