Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

round a triangle is 20 centimeters. if two sides are equal and the leng…

Question

round a triangle is 20 centimeters. if two sides are equal and the length of the third side is 8 centimeters, sides? to enter your answer (opens in new window) 2 points cm

Explanation:

Step1: Define the problem

Let the length of each equal side be \( x \) cm. The perimeter of a triangle is the sum of its three sides. So, the perimeter \( P = x + x + 8 \) (since two sides are equal, each of length \( x \), and the third side is 8 cm), and we know \( P = 20 \) cm.

Step2: Set up the equation

From the perimeter formula, we have the equation: \( 2x + 8 = 20 \).

Step3: Solve for \( x \)

Subtract 8 from both sides of the equation: \( 2x = 20 - 8 \). So, \( 2x = 12 \). Then divide both sides by 2: \( x = \frac{12}{2} = 6 \).

Answer:

6