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Chapter 3: Q. 404 (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 14.9.

Step by step solution

01

Step 1. Given Information  

We are given a right-angled triangle whose length of the legs are 10and 11.

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 legs of the triangle are 10and 11, so in the equation a2+b2=c2substitute 10for aand 11for b.

102+112=c2100+121=c2221=c2

Taking square root both sides we get

221=c214.9鈮�c

So the length of the hypotenuse is 14.9.

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