Question

Two sides of a triangle have the same length. The third side measures 3 m less than twice the common length. The perimeter of the triangle is 13 m. What are the lengths of the three​ sides?

Answer 1

4m, 4m, and 5 m

Explanation:

From the information give;

• Two sides of a triangle are equal in length
• The third side is 3 m less than the common length
• Perimeter of the rectangle is 13 m

We are required to determine the dimensions of the triangle;

• Assuming the common sides are x m each
• Then, the third side will be (2x-3) m
• Perimeter of a triangle is equal to the sum of the lengths of the three sides

Therefore;

(2x-3) + x + x = 13 m

4x - 3 = 13m

4x = 16 m

x = 4 m

and, 2x-3 = 5 m

Therefore, the lengths of the three sides of the triangle are 4m, 4m, and 5 m