Question

Find the area of an isosceles right triangle having the hypotenuse of length30cm​

Answer 1

Step-by-step explanation:

In, ∆ABC, AB=BC, AC=30cm

by Pythagoras theorem,

AB²+BC² = AC²

2AB²=30²

BC = AB = 15√2cm

BC is the base, AB is the perpendicular

Now,

Area of isosceles right angles triangle =

$\frac{1}{2} \times base \times \: height$

$= \frac{1}{2} \times 15 \sqrt{2 } \times 15 \sqrt{2}$

$= 15 \times 15 \times 2 \div 2 \\ = 15 \times 15 = 225cm$