Answer:
20 cm, 35 cm, 40 cm
Step-by-step explanation:
sum the parts of the ratio, 4 + 7 + 8 = 19 parts
Divide the perimeter by 19 to find the value of one part of the ratio.
95 cm ÷ 19 = 5 cm, then
4 parts = 4 × 5 cm = 20 cm
7 parts = 7 × 5 cm = 35 cm
8 parts = 8 × 5 cm = 40 cm
Thus the 3 sides are 20 cm, 35 cm and 40 cm
Answer:
The measure of the sides of a triangle will be:
4x = 4(5) = 20 cm
7x = 7(5) = 35 cm
8x = 8(5) = 40 cm
Step-by-step explanation:
Given that the lengths of the sides of a triangle are in the extended ratio 4 : 7 : 8.
Also given that the perimeter of the triangle is 95 cm.
We know that the Perimeter of a triangle is the sum of all the sides of a triangle.
As the lengths of the sides of a triangle are in the proportion 4 : 7 : 8. Thus, the measure of the sides will have the same scale factor x.
Therefore,
4x + 7x + 8x = 95
Add similar elements: 4x + 7x + 8x = 19x
19x = 95
Divide both sides by 19
19x/19 = 95/19
x = 5
Therefore, the measure of the sides of a triangle will be:
4x = 4(5) = 20 cm
7x = 7(5) = 35 cm
8x = 8(5) = 40 cm
Verification:
20 + 35 + 40 = 95
95 = 95
