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Pythagorean theorem I need help on number 7 please .

Pythagorean theorem I need help on number 7 please .-example-1

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Answer:

The hypotenuse is exactly sqrt(149) units long

This is approximately equal to 12.20656

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Work Shown:

The right triangle has sides a,b,c such that

a = 7

b = 10

c = unknown hypotenuse (aka longest side)

Let's use the pythagorean theorem to solve for side c

a^2 + b^2 = c^2

7^2 + 10^2 = c^2

49 + 100 = c^2

149 = c^2

c^2 = 149

c = sqrt(149) which is the exact answer

c = 12.20656 which is the approximate answer

The approximate answer is rounded to five decimal places

User Tengu
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