Question

the lengths of the sides of a triangle are in the extended ratio 5 : 7 : 10. the perimeter of the triangle is 88 cm. what are the lengths of the sides?
the lengths of the sides of the triangle in cm are \boxed{}.
(use a comma to separate answers as needed.)

Explanation:

Step1: Find the sum of the ratio parts

The ratio of the sides is \(5:7:10\). First, calculate the sum of the ratio terms: \(5 + 7 + 10 = 22\).

Step2: Determine the value of one part

The perimeter of the triangle is \(88\) cm. Since the sum of the ratio parts is \(22\), the value of one part is \(\frac{88}{22}=4\) cm.

Step3: Calculate each side length

• For the first side (ratio \(5\)): \(5\times4 = 20\) cm.
• For the second side (ratio \(7\)): \(7\times4 = 28\) cm.
• For the third side (ratio \(10\)): \(10\times4 = 40\) cm.

Answer:

20, 28, 40