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Chapter 3: Q. 401 (page 408)

In the following exercises, use the Pythagorean Theorem to find the length of the missing side. Round to the nearest tenth, if necessary.

Short Answer

Expert verified

The length of the missing side is8.

Step by step solution

01

Step 1. Given Information

We are given a right angled triangle whose length of hypotenuse is 17and length of one leg is role="math" 15.

The obejctive is to find the length of the missing side.

02

Step 2. Concept Used

The Pythagorean Theorem states that in any right triangle, a2+b2=c2where c is the length of the hypotenuse anda andb are the lengths of the legs.

03

Step 3. Find the missing length

As the length of the hypotenuse is 17and the length of one leg is 15, so in the equation a2+b2=c2substitute 17for cand role="math" localid="1647232330742" 15for a.

152+b2=172225+b2=289b2=289-225b2=64

Taking square root both sides we get

b2=64b=8

So the length of the missing side is 8.

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