Question

the ratio of the measures of the sides of a triangle is 21:8:14. if the perimeter of the triangle is 215 feet, find the length of each side

Answer 1

$\large \tt AHOY!! \:$

given the ratio of the measures if the sides of a ∆ is 21 : 8 : 14

let the sides be 21x, 8x and 14x.

perimeter of the triangle = sum of all sides of a ∆

therefore 21x + 8x + 14x = 215 ft

=> 43x = 215 ft

=> x = 215/43

=> x = 5

hence, the sides of the triangle are...

• 21x = 21 × 5
= 105 ft

• 8x = 8 × 5
= 40 ft

• 14x = 14 × 5
= 70 ft

$\large \tt HOPE \: THIS \: HELPS!!$

Answer 2

Given:

The ratio of the measures of the sides of a triangle is 21:8:14. Also, the perimeter of the triangle is 215 feet.

To find:

The length of each side.

Solution:

The length of each side is 105 feet, 40 feet and 70 feet.

To answer this question, we will follow the following steps:

As given, we have,

The ratio of three sides of a triangle = 21:8:14

Let the common ratio among all sides be x.

So, the three sides are 21x, 8x and 14x.

Also,

The perimeter of the triangle = 215 feet

Now,

As we know that perimeter of the triangle is equal to the sum of all three sides of the triangle. So,

$21x + 8x + 14x = 215$

$43x = 215$

$x = 5$

So,

the three sides of a triangle are

21x = 21(5) = 105 feet

8x = 8(5) = 40 feet

14x = 14(5) = 70 feet

Hence, the measures of three sides are 105 feet, 40 feet and 70 feet.