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Q.

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

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a

4

b

9

c

5

d

3

answer is C.

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Detailed Solution

Concept- One of the three angles in a right-angled triangle should be 90 degrees.
The pythagorean theorem states that in a right-angled triangle, the hypotenuse's square is equal to the sum of the squares of the base and perpendicular.
We are given that the square of the hypotenuse is 50 and the other two sides are equal.
Let us assume that the lengths of the two legs of the right triangles are a cm and a cm.
Now we will calculate the length of each leg by using the Pythagorean Theorem.
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As a result, the measure of the other two sides are 5 cm each.
Hence, the correct answer is option 3) 5 cm

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