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Brrunno [24]
2 years ago
11

Please help me!

Mathematics
1 answer:
Step2247 [10]2 years ago
5 0

Answer:

x = 12

Step-by-step explanation:

Using the Altitude- on- Hypotenuse theorem

The 2 triangles are similar to the outside triangle and to each other, that is

Δ RQT ~ ΔSRT

Since the triangles are similar then the ratios of corresponding sides are equal, that is

\frac{RT}{ST} = \frac{QT}{RT}, substitute values

\frac{x}{9} = \frac{16}{x} ( cross- multiply )

x² = 144 ( take the square root of both sides )

x = \sqrt{144} = 12

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