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Murrr4er [49]
3 years ago
15

27 km 36 km What is the length of the hypotenuse?

Mathematics
1 answer:
just olya [345]3 years ago
4 0

Answer:

The length of hypotenuse is 45 kilometers

Step-by-step explanation:

Assuming that given lengths are of perpendicular and hypotenuse, and the triangle is a right angled triangle

Perpendicular = P = 27 km

Base = B = 36 km

Hypotenuse = H = ?

We can use Pythagoras theorem for finding the length of hypotenuse

The Pythagoras theorem is given by:

H^2 = B^2+P^2

Putting the values, we get

H^2 = (36)^2 + (27)^2\\H^2 = 1296 + 729\\H^2 =2025

Taking square root on both sides

\sqrt{H^2} =\sqrt{2025}\\H =45

Hence,

The length of hypotenuse is 45 kilometers

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