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Chapter 3: Q. 403 (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 is 8.1.

Step by step solution

01

Step 1. Given Information 

We are given a right-angled triangle whose length of the legs are 7and 4.

The objective is to find the length of the hypotenuse.

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 length of the hypotenuse

As the length of the two legs are 7and 4, so in the equation a2+b2=c2substitute 7for aand 4for role="math" b.

72+42=c249+16=c265=c2

Taking square root both sides we get

65=c28.1鈮�c

So the length of the hypotenuse is 8.1.

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