Asked by Jazlin Jordan
find the length of one leg of a right triangle if the length of the hypotenuse is 18 feet and the length of the other leg is 14 feet. round to the nearest tenth.
Answers
Answered by
Anonymous
14^2 + x^2 = 18^2
x^2 = 18^2 - 14^2 = 324 - 196 = 128 = 2*64 = 2 * 8^2
so
x = 8 sqrt 2 = 11.3137085 or 11.3
--------------------------
check
===================
11.3^2 = 128
14^2 = 196
sum = 324
sqrt = 18 , whew !
x^2 = 18^2 - 14^2 = 324 - 196 = 128 = 2*64 = 2 * 8^2
so
x = 8 sqrt 2 = 11.3137085 or 11.3
--------------------------
check
===================
11.3^2 = 128
14^2 = 196
sum = 324
sqrt = 18 , whew !
Answered by
mathhelper
x^2 + 14^2 = 18^2
x^2 = 324 - 196 =128
x = √128 or 8√2
x^2 = 324 - 196 =128
x = √128 or 8√2
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