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NEED SOME HELP HERE!!

Neil Down is doing some remodeling and needs to cut a triangular piece of wood such that the diagonal is 10 feet long, and the sides of the triangle are in a ratio 3:4. How long should each side be?​

NEED SOME HELP HERENeil Down is doing some remodeling and needs to cut a triangular piece of wood such that the diagonal is 10 feet long and the sides of the tr class=

Respuesta :

Answer:

6 and 8

Step-by-step explanation:

Pythagorean theorem: a² + b² = c²

Given this,

(3x)² + (4x)² = 10²

9x² + 16x² = 100

25x² = 100

Divide both sides by 25

x² = 4

x = 2

Substitute this into 3x and 4x.

3x = 3 * 2 = 6

4x = 4 * 2 = 8

Thus, the answer is 6 and 8