The Base Of An Isosceles Triangle Is 7cm More Than A Leg. If The Perimeter Is 52cm. What Is The Length Of The Base?

The base of an isosceles triangle is 7cm more than a leg. If the perimeter is 52cm. what is the length of the base?

 

Answer:

The base is 22 cm.

Step-by-step explanation:

An isosceles triangle has two equal legs and a base.

Measure of one leg: x

Measure of base: x+7

Perimeter: 52 cm

Equation:

Perimeter of triangle = Side 1 + Side 2 + Side 3

52 = (x) + (x) + (x+7)

52 = 3x + 7

3x = 52-7

3x/3 = 45/3

x = 15

Substitute:

Leg 1: x = 15 cm

Leg 2: x = 15 cm

Base: x+7  ⇒ 15+7 = 22 cm

Check:

15 cm + 15 cm + 22 cm = 52 cm

52 cm = 52 cm  (True)


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