Question

In ΔABC, side AB measures 10 cm and side BC measures 19 cm. If the perimeter of the triangle is 52 cm, what is the ratio of the longest side of the triangle to the shortest side?

Answer 1

Answer:

The ratio of the longest side of the triangle to the shortest side is 23: 10

Step-by-step explanation:

In ΔABC, side AB measures 10 cm and side BC measures 19 cm.

The perimeter of the triangle = 52 cm

Find:  what is the ratio of the longest side of the triangle to the shortest side.

First, find the longest and shortest sides of the triangle.

Perimeter of ΔABC =side AB + side BC + side AC

10 + 19 + AC = 52

29 + AC = 52

AC = 52 - 29

AC = 23

So, longest side AC = 23

And smallest side AB = 10

The ratio of the longest side of the triangle to the shortest side = 23: 10