the lengths of the sides of a triangle are in the extended ratio 6:7:9.The perimeter of the triangle is 88cm.What is the length

Question

Lunna [17]

3 years ago

8

the lengths of the sides of a triangle are in the extended ratio 6:7:9.The perimeter of the triangle is 88cm.What is the length

of the shortest side?

Mathematics

1 answer:

bixtya [17] · Answer 1 · 2022-01-13T06:20:41+03:00

Answer:

24 cm

Step-by-step explanation:

The triangle must have the ratio of 6:7:9 for side lengths. If the triangle had these exact sides then the perimeter would be 6 + 7 + 9 = 22 cm. Since the triangle has 88 cm as its perimeter then 22*4 = 88. This means multiplying by a scale factor of 4 will give the side length.

6 * 4 = 24

7* 4 = 28

9 * 4 = 36

The perimeter is 24 + 28 + 36 = 88 cm.

The shortest side is 24.