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Nataly_w [17]
3 years ago
15

CAN SOMEONE PLEASE HELP ME WITH MY MATH ASAP PLEASE!!!!​

Mathematics
1 answer:
WINSTONCH [101]3 years ago
5 0

Answer:

x = 15

Step-by-step explanation:

Consider the right triangle on the left with hypotenuse h₁  , then

Using Pythagoras' identity

h₁² = x² + 9²

Consider the right triangle on the right with hypotenuse h₂ , then

h₂² = x² + 25²

Now consider the large right triangle with legs h₁ and h₂ , then

h₁² + h₂² = (9 + 25)² , substitute values

x² + 9² + x² + 25² = 34² , that is

2x² + 81 + 625 = 1156

2x² + 706 = 1156 ( subtract 706 from both sides )

2x² = 450 ( divide both sides by 2 )

x² = 225 ( take the square root of both sides )

x = \sqrt{225} = 15

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