Question

A right - angled triangle is isosceles. if the of the hypotenuse is 50m, what is the length of equal sides ?​

Answer 1

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Given:-

• Length of the hypotenuse right αngled isosceles triαngle = $\sf{50^2\:cm}$

To Find:-

• The length of the equαl sides.

Solution:-

Let the equαl side be x.

According to the Pythαgorαs theorem :-

$\boxed{\underline{\green{\sf (Hypotenuse ^2) =(perpendicular)^2+(Base)^2}}}$

Now,

$:\implies\:\: \sf{50^2=x^2+x^2}$

$:\implies\:\: \sf{50^2=2x^2}$

$:\implies\:\: \sf{x^2=\dfrac{50}{2} }$

$:\implies\:\: \sf{x^2=25 }$

$:\implies\:\: \sf{x=\sqrt{25} }$

$\sf:\implies \underline{\boxed{\pink{\rm{x = 5\: m}}}}\bigstar$

∴ Length of the equαl sides of the right αngle triαngle αre 5 m.

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