Question

3)The two legs of a right triangle are equal and the square of its hypotenuse is 50. Find the length of each leg.

Answer 1

Step-by-step explanation:

As the two sides are equal, And square of Hypotenuse i.e Hypotenuse ² = 50Let side of the triangle be x,

According to Pythagoras Theorem,

Side² + Side² = Hypotenuse²,

=> As sides are equal, Both are x

=> x² + x² = 50

=> 2x² = 50,

=> x² = 25,

=> x = +5 or -5 ,

But sides can't be negative,

So the length of the legs is +5

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