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Drupady [299]
3 years ago
6

The legs of a 45 45 90 triangle have a length of 8 units what is the length of the hypotenous

Mathematics
1 answer:
Crank3 years ago
3 0

Answer:

11.31 units

Step-by-step explanation:

a^2 + b^2 = c^2

8^2 + 8^2 = c^2

64 + 64 = c^2

128 = c^2

Opposite of exponents is square roots, and we need to get rid of that exponent in c^2, meaning we find the square root.

\sqrt{128\\} \\\\ = c

c = 11.31 units

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What is the missing length??
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Answer

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Step-by-step explanation:

Represent the missing length with x

The sides of the given shape are directly proportional.

Mathematically:

(15 + x) to (12 + 8) and x to 7

Represent as a ratio:

(15 + x) : (12 + 8) = x : 8

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Convert to fraction

\frac{15 + x}{20} = \frac{x}{8}

Cross Multiply:

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Collect Like Terms

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Solve for x

x = \frac{120}{10}

x = 10

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Step-by-step explanation:

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