Question

in a right triangle, if the hypotenuse is 230 and has a 45 degree angle, what are the lengths of the legs

Answer 1

Step-by-step explanation: Because it is an isosceles right triangle, a right triangle with a 45-degree angle has equal-length legs. Let's use the symbol "x" to indicate each leg's length.

We may calculate the legs' length by applying the Pythagorean theorem:

x^2 + x^2 = 230^2

2x^2 = 230^2

x^2 = (230^2)/2

x^2 = 52900

If you take the square root of both sides:

x = sqrt(52900)

x ≈ 230.01

The right triangle's legs are roughly 230.01 units long as a result.