Question

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Answer 1

Answer:

Pythagorean Theorem:

a² + b² = c²

x² + 5x² = 78²

6x² = 6084

6x²/6 = 6084/6

x²=1014

√x² = √1014

x = 31.84

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Answer 2

Answer:

x ≈ 15.3

Step-by-step explanation:

Based on the pythagoras theorem

$a^{2} + b^{2} = c^{2}$

Since the legs are "5x" and "x" we know the following....

$(5x)^{2} + x^{2} = 78^{2} \\25x^{2} + x^{2} = 6084\\26x^{2} = 6084\\x^{2} = 234\\x = \sqrt{234} \\x = 15.3$

(This is round did to the nearest tenth)