4 years ago

The value of x is ...?

Mathematics

1 answer:

Semenov [28]4 years ago

5 0

Answer:

X = 64

Step-by-step explanation:

Comparing the two triangle put the right angle into consideration.

(17 + X)/(X + 8) = (X + 8)/X

Cross multiplying

X(17 + X) = (X + 8)(X + 8)

17X + X^2 = X^2 + 8X + 8X + 64

Collecting like terms

X^2 - X^2 + 17X - 8X - 8X = 64

X = 64

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