Question

An isosceles right triangle has area 8 cm 2. The length of its hypotenuse is

Answer 1

Hi Mate ! ! !
Isosceles triangle : - Two sides and two angles are equal..

We know that area of a right angled trangle is given by


1 / 2 base × altitude

Let the base be = x

1 / 2 × x × x = 8 cm²


x = 4 cm


Now by using p.g.t theorem


Hypotneous = √ ( 16 + 16 )

= 4 √ 2

Answer 2

$\huge\red{Answer\: is}$

Let the base of triangle be x cm
hence height of triangle be x cm
as this is an isosceles triangle

Area = 1/2 X base x height

$8 = \frac{1}{2} \times x \times x \\ x {}^{2} = 8 \times 2 \\ x = \sqrt{16} \\ x = 4cm$
So base = 4 cm
Height = 4 cm
Now the length of hypotenuse is
$= \sqrt{4 {}^{2} + 4 {}^{2} } \\ = \sqrt{16 + 16} \\ = \sqrt{32} \\ = 5.65cm$
Hope it helps you