Question

The perimeter of a triangle is 42 inches. The lengths of its sides are in the ratio 5:7:2. Find the length of the longest side of the triangle.

I need the answer ASAP OMGGG

Answer 1

The length of the longest side of the triangle is 21 inches.

Explanation:

Sum of ratios = 5 + 7 + 2

= 14

First side of the triangle =
`(5)/(14)` ×
`(42)/(1)`

= 5 × 3

= 15 inches

2nd side of the triangle =
`(7)/(14) * (42)/(1)`

= 7 * 3

= 21 inches

3rd side of the triangle =
`(2)/(14) * (42)/(1)`

= 2 × 3

= 6 inches

∴The longest side of the triangle is 21 inches.

Hope this helps

Answer 2

5+7+2=14
42:14=3
5•3=15
7•3=21
2•3=6
P=42
42=15+21+6
Longest side of triangle is 21 inches long