Question

In isosceles right triangle has area 18cm2 . The length of its hypotenuse is?
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Answer 1

Let the height of the triangle consider as h

As it is an isosceles triangle

Let base = height =h

Atq area of triangle = 18cm²

$= \frac{1}{2} \: base \: \times height \\ \\ \frac{1}{2} \times h \times h = 18 \\ \\ {h}^{2} = 36 \\ h = \sqrt{36} \\ \\ h = 6cm$

Base = height = 6cm

Since the angle is right angle triangle

Will use Pythagoras theorem

H² = B² + P²

H² = 6² +6²

H ² = 36 +36

H =

$\sqrt{72}$