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alexgriva [62]
2 years ago
5

Help please What is the value of b?

Mathematics
1 answer:
Marizza181 [45]2 years ago
5 0

Answer:

3\sqrt{13}

Step-by-step explanation:

Find 'c' first by using the Altitutude Rule:

4/c = c/9

cross-multiply to get:

c = \sqrt{36} or 6

Now you can find 'a' by using the Pythagorean Theorem:

4² + 6² = a²

a = \sqrt{52}

Now you can find 'b' by using the Pythagorean Theorem:

(\sqrt{52})² + b² = (9+4)²

52 + b² = 169

b² = \sqrt{117}

b = \sqrt{117} = \sqrt{3}\sqrt{3}\sqrt{13}

b = 3\sqrt{13}

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