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2 years ago

What is the length of the hypotenuse? Answer : 17

Mathematics

1 answer:

leonid [27]2 years ago

3 0

Answer:

Below.

Step-by-step explanation:

Finding the hypotenuse:

Recall the formula of Pythagoras'theorem,

(Hypotenuse)² = (Base)² + (Perpendicular)²

Given that base = 8 and perpendicular = 15

Plugging the values,we obtain

H² = 8² + (15)²
H² = 64 + 225
H² = 289
H = √(17*17)
H = 17

Now applying trigonometric functions:

Recall SOHCAHTOA , it's very helpful.

Sin θ = Sin A = Opposite/Hypotenuse

Sin A = 15/17 ≈ 0.88

cos θ = cos A = Adjacent/Hypotenuse

cos A = 8/17 ≈ 0.47

Tan θ = tan A = Opposite/Adjacent

tan A = 15/8 ≈ 1.88

Note: The values in decimal are rounded to nearest hundredth.

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