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Chapter 8: Q. 1 (page 515)

In a right triangle, if the length of the hypotenuse is 5and the length of one of the other sides is 3, what is the length of the third side?

Short Answer

Expert verified

The solution is4.

Step by step solution

01

Step 1. Given information 

The length of the hypotenuse is 5and the length of one of the other sides is 3.

02

Step 2. Calculation 

Let the hypotenuse be a, the length of one of the other sides be band the length of the third side be c. Now -

a2=b2+c2 Pythagorean theorem

52=32+c2

c2=52-32

c=52-32

=25-9

=16

=4

So, the length of the third side is4.

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