What is the length of the missing leg in this right triangle? A right triangle has a side with length 7 millimeters and hypotenuse with length 25 millimeters.

Question

asked May 6, 2021 33.6k views

2 Answers

Dannyrosalex · Answer 1 · 2021-05-11T09:24:45+0000

Answer:

24

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, that is

x² + 7² = 25² ( x is the missing leg )

x² + 49 = 625 ( subtract 49 from both sides )

x² = 576 ( take the square root of both sides )

x =
√(576) = 24