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3 years ago

Calculate the lengths of the 2 unlabeled sides. GJ?

Mathematics

1 answer:

sladkih [1.3K]3 years ago

3 0

Answer:

Length of hypotenuse JH = 9.2 unit (Approx.)

Length of perpendicular JG = 6.5 unit

Step-by-step explanation:

Given:

Length of base GH = 6.5 unit

Angle of H = 45°

Find:

Length of perpendicular JG

Length of hypotenuse JH

Computation:

Using trigonometry function:

Tan θ = Perpendicular / Base

Tan 45 = Perpendicular / 6.5

1 = Perpendicular / 6.5

Perpendicular = 6.5

Length of perpendicular JG = 6.5 unit

hypotenuse = √perpendicular² + base²

Length of hypotenuse JH = √6.5² + 6.5²

Length of hypotenuse JH = √42.25 + 425.25

Length of hypotenuse JH = √84.5

Length of hypotenuse JH = 9.1923

Length of hypotenuse JH = 9.2 unit (Approx.)

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