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marusya05 [52]
2 years ago
15

Solve for x and y. PLEASE HELP!! WILL MARK BRAINLIEST!!

Mathematics
1 answer:
Elina [12.6K]2 years ago
8 0

Answer:

x=\sqrt{40}, y=\sqrt{104}

Step-by-step explanation:

Note the triangle formed by x, y, and 8 is similar to the largest triangle

so x : c = 8 : y = y : 13, where c is the rightmost vertical length, c² = x² + 5²

From 8 : y = y : 13, we get
y² = 13*8 = 104, so

y=\sqrt{104}

From x : c = 8 : y, we have xy = 8c

x²y² = 64c²

104x² = 64(25 + x²)

104x² = 1600 + 64x²

40x² = 1600

x² = 40

x=\sqrt{40}

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