Question

The length of each of the two congruent sides of an isosceles triangle is 2x + 3.The length of the third side is 2X. It's permanent meter is 36 cm. Draw and label this triangle. Write an equation that could be used to find the value of X. Solve for X and then find the length of all three sides

Answer 1

Answer: Answer; X = 5cm

The length of all three sides would be 13cm, 13cm and 10cm.

Step-by-step explanation: First of all the given triangle is an isosceles triangle which means two sides measure 2x + 3. The third side measures 2x. The perimeter measures the entire length of the triangle, which means, perimeter equals

(2x + 3)+ (2x + 3)+ 2x = 36

2x+3+2x+3+2x=36

6x + 6 = 36

Subtract 6 from both sides of the equation

6x = 36 -6

6x = 30

Divide both sides of the equation by 6

X =5cm.