Question

Use the pythagorean theorem to find the lengths of the sides of the right triangle.

Answer 1

The length of the sides are 21, 28 and 35

Explanation:

2m + 14 =
`\sqrt{(5m)^(2) - (3m)^(2) }`

2m + 14 =
`\sqrt{25m^(2) - 9m^(2) }`

2m + 14 =
`\sqrt{16m^(2) }`

2m + 14 = 4m

Collecting like terms

14 = 4m - 2m

14 = 2m

`(14)/(2) = (2m)/(2)`

m = 7

The length of sides of the triangles are:

3m = 3(7)

= 21

5m = 5(7)

= 35

2m + 14 = 2(7) + 14

= 14 + 14

= 28

∴The length of sides of the triangle are 21, 28 and 35

Hope this helps