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Chapter 3: Q. 229 (page 373)

One side of a triangle is twice the shortest side. The third side is five feet more than the shortest side. The perimeter is 17feet. Find the lengths of all three sides.

Short Answer

Expert verified

The sides of the triangle are 3 feet, 6 feet, and 8 feet.

Step by step solution

01

Step 1. Given information 

One side of a triangle is twice the shortest side. The third side is five feet more than the shortest side. The perimeter is 17 feet.

02

Step 2. Length of each side of triangle 

Let the length of shortest side of a triangle be a and second side length is b and third side length is c. Then,

b=2a

c=a+5

Perimeter = 17 feet

Perimeter = a+ b+ c=a + 2a+ a+5 = 17

4a=12

a=3 feet

b=2a=6 feet

c=a+5=8 feet

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