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The hypotenuse of a right triangle measures 19m on leg measures 15m what is the measure of the other leg

asked
User Satevg
by
8.6k points

1 Answer

8 votes

Answer:

≈ 11.7 m

Explanation:

using Pythagoras' identity in the right triangle.

the square on the hypotenuse is equal to the sum of the squares on the other 2 sides.

let x be the measure of the second leg , then

x² + 15² = 19²

x² + 225 = 361 ( subtract 225 from both sides )

x² = 136 ( take square root of both sides )

x =
√(136) ≈ 11.7 m ( to the nearest tenth )

answered
User Brice Roncace
by
7.6k points
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