Question

The two legs of a right triangle are the same length. the hypotenuse is 7 meters long. find the length of the legs. express your answer in simplified radical form, or as a decimal rounded to four places.

Answer 1

let

x--------> the length side of the legs of a right triangle

H------> hypotenuse

we /know that

in a right triangle

Applying the Pythagorean Theorem

H²=x²+x²------->H²=2x²-----> solve for x-------> x=H/√2

H=7 m

so

x=7/√2------->(7√2) /2 m------> 4.9497 m

the answer is

in simplified radical form------> (7√2) /2 m

as a decimal rounded to four places-------->4.9497 m