Question

The shorter leg of a 30°- 60°- 90° right triangle is 12.5 inches. How long are the longer leg and the hypotenuse?

Answer 1

@tcarroll010

Answer 2

In a 30-60-90 degree right triangle, the shorter leg is half of the hypotenuse, so the hypotenuse is 25. Now, let "x" be the length of the longer leg:

x^2 + 12.5^2 = 25^2

x^2 = 25^2 - 12.5^2

So, just solve for "x" by squaring both terms on the right, adding them, and then taking the square root of that sum.

Answer 3

x=21

Answer 4

?

Answer 5

That's rounding a bit too much.

Answer 6

wait i have to solve both ?

Answer 7

approx. 21.65 is a better answer.

Answer 8

both what?

Answer 9

so the ansewer is 21.65

Answer 10

longer leg approximation

Answer 11

It's an irrational number, so if you want it in decimal form, it has to be approximated. The decimal points will go on forever otherwise.