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Chapter 3: Q. 217 (page 301)

If a triangle has sides 6 feet and 9 feet and the perimeter is 23 feet, how long is the third side?

Short Answer

Expert verified

Third side of triangle =8feet

Step by step solution

01

Step 1. Given information

Perimeter of the given triangle=23

Let one side of the triangle 'a'=6feet

Let second side of the triangle 'b'=9feet

02

Step 2. Finding the third side 'c' of the triangle.

Formula of perimeter of a triangle = a+b+c

localid="1647092533787" 23=6+9+c23=15+c23-15=c8=cc=8

03

Step 3. Checking

Check the solution by using the formula P=a+b+c

23=6+9+823=23 [true]

Therefore,third side of trianglec=8feet

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