What will be the area of a right-angled triangle whose hypotenuse is 10 cm and base is 6 cm?
Answer & explanation
Correct answer: option 2
The correct answer is Option (2) → 24 sq cm
The area of a triangle is \(\frac{1}{2}\times\) base \(\times\) height. In a right-angled triangle the height is the third side, which the Pythagoras theorem gives from the hypotenuse and the base.
Height \(=\sqrt{10^2-6^2}=\sqrt{64}=8\) cm
Area \(\displaystyle =\frac{1}{2}\times6\times8=24\) sq cm
