Question

An isosceles right angled triangle has area 18 cm sq . Find the length of its hypotenuse.

Answer 1

Hypotenuse is $6\sqrt{2}$ cm.

Tips:

Isosceles right angled triangle means a right angled triangle which has two equal sides.

Step-by-step explanation:

Let, equal sides be x cm

Then, area = 18 $cm^{2}$

$\Rightarrow \dfrac{1}{2}\times x\times x=18$

$\Rightarrow x^{2}=36$

$\Rightarrow x=6$ [ ∵ length is always positive ]

So, hypotenuse

$=\sqrt{x^{2}+x^{2}}$ cm

$=\sqrt{2x^{2}}$ cm

$=\sqrt{2}x$ cm

$=\sqrt{2}\times 6$ cm

$=6\sqrt{2}$ cm

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