Question

The ratio of the measure of three sides of a triangle is 9:8:7, and its perimeter is 144 units. Find the measure of each side of the triangle.

Answer 1

54 , 48 and 42 units

Step-by-step explanation:

sum the parts of the ratio , 9 + 8 + 7 = 24 parts

given perimeter (P) = 144 units ( the sum of the 3 sides )

divide P by 24 to find the value of one part of the ratio

144 ÷ 24 = 6 units , then

9 parts = 9 × 6 = 54

8 parts = 8 × 6 = 48

7 parts = 7 × 6 = 42

the sides of the triangle measure 54 , 48 and 42 units

Answer 2

To find the sides of a triangle with sides in the ratio 9:8:7 and a perimeter of 144 units, calculate the value of one part as 6 units and then multiply each part of the ratio by this value to get the lengths: 54 units, 48 units, and 42 units.

Step-by-step explanation:

In order to find the measure of each side of a triangle with sides in the ratio 9:8:7 and a perimeter of 144 units, we start by adding the ratios together to get a total of 9 + 8 + 7 = 24. This represents the total number of parts the perimeter is divided into. Now, we can find the value of one part by dividing the perimeter by this number: 144 ÷ 24 = 6 units. Therefore, one part equals 6 units.
Next, we multiply each part of the ratio by the value of one part to get the length of each side:

Side 1: 9 parts × 6 units/part = 54 units

Side 2: 8 parts × 6 units/part = 48 units

Side 3: 7 parts × 6 units/part = 42 units

So, the sides of the triangle measure 54 units, 48 units, and 42 units respectively.