Question

The formula for the length of the hypotenuse in a right triangle is where and bare the lengths of the triangle's sides this form is derived from the Pythagorean theorem) From the side, a certain ramp has a right-triangular shape. Its height is 30 centimeters and its horizontal length is 3 meters. What calculation will give us the estimated length of the ramp in meters? on Khan academyI know the answer is because I I want people to know the answer on Khan academy but you can add more answers


`{30}^(2) / {100}^(2) + {3}^(2)`
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Answer 1

3m

Explanation:

The length of the ramp will be the longest side of the right-triangular shape (the hypotenuse). The height and the horizontal length will be the other two sides (adjacent and opposite).

Acording to the theorem;

hyp² = opp²+adj²

Given

opp = 30cm = 0.3m (convert to metres)

adj = 3 m

Substitute

hyp² = 0.3²+3²

hyp² = 0.09+9

hyp² = 9.09

hyp = √9.09

hyp = 3.0145 m

Hence the estimated length of the ramp in meters is 3m