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mestny [16]
3 years ago
7

13. What is x in the diagram?

Mathematics
1 answer:
kirza4 [7]3 years ago
7 0

Answer:

x = 6\sqrt{3}

Step-by-step explanation:

Using the Altitude- on- Hypotenuse theorem

( leg of large triangle)² = (part of hypotenuse below it) × (whole hypotenuse) , so

x² = 9 × (9 + 3) = 9 × 12 = 108 ( take square root of both sides )

x = \sqrt{108} = \sqrt{36(3)} = \sqrt{36} × \sqrt{3} = 6\sqrt{3}

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