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fredd [130]
3 years ago
9

How do I find X thanks​

Mathematics
1 answer:
Ivan3 years ago
3 0

Answer:

x = 60

Step-by-step explanation:

By applying mean ratio theorem in the given right triangles ΔABC and ΔBDC,

\frac{AD}{BD}=\frac{BD}{DC}

BD² = AD × DC

BD² = 36 × 64

BD = \sqrt{36\times 64}

BD = 48

By applying Pythagoras theorem in right triangle ΔADB,

AB² = AD² + BD²

x² = (48)² + (36)²

x² = 3600

x = 60

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