The hypotenuse of a 45°-45°-90° triangle measures 10 sqrt 5 in. What is the length of one leg of the triangle?
2 answers:
There is this specific ratio for 45-45-90 triangles where the length of the hypotenuse is radical 2 times as long as a leg. With this in mind, we can create an equation where the length of one leg is represented with the variable x.
x
= 10
divide both sides by
x = 10 /
x = 10
/2
x = 5
The length of one leg is 5
x
divide both sides by
x = 10
x = 10
x = 5
The length of one leg is 5
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