Question

Find the area of a right-angled triangle with hypotenuse of length 91 cm and height 35 cm.

• A. $3472c{m}^2$
• B. $3476c{m}^2$
• C. $3848c{m}^2$
• D. $3822c{m}^2$

Answer 1

The correct option is D $3822c{m}^2$

The given triangle is right-angled. So, by using pythagoras theorem we get,
(Hypotenuse)² = (base)² + (height)²
$\Rightarrow (91{)}^2=(base{)}^2+(35{)}^2$
$\Rightarrow (base{)}^2=(91{)}^2-(35{)}^2$
$\Rightarrow$ base = 84 cm
$\because \text{Area of triangle}=\frac{1}{2}\times Base\times Height$
$=\frac{1}{2}\times 91\times 84$
$=3822{\text{cm}}^2$.