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Chapter 1: Q. 3 (page 13)

If 3 and 4 are the legs of a right triangle, the hypotenuse is _________.

Short Answer

Expert verified

The hypotenuse of the right triangle is 5.

Step by step solution

01

Step 1. Given information.

In a right angle triangle, the measures of the legs are 3 and 5.

We need to find the hypotenuse of the right triangle.

02

Step 2. Determine the hypotenuse.

According to the Pythagoras Theorem,

c2=a2+b2

Where, a,bare legs and cis the hypotenuse.

Use the above formula to find the hypotenuse.

role="math" localid="1645771268022" c2=32+42c=9+16∵c≮0c=25c=5

03

Step 3. Conclusion.

The hypotenuse of the right triangle is 5.

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