it's a right triangle so use the Pythagorean Theorem. If the other leg is x, then
(5√3)^2 + x^2 = (x+2)^2
If one leg of a right triangle is 5 times the square root of 3 centimeters, and the hypotenuse is 2 more than the other leg, what is the length of the other leg?
While it does say please show my work, I literally have NO idea how to solve this, and this is one of my last questions to finish 10th grade..
3 answers
one leg is 5 sqrt 3
the other leg is x
the hypotenuse is x + 2
c^2 = a^2 + b^2
(x+2)^2 = x^2 + (5 rt3)^2
x^2 + 4x + 4 = x^2 + 75
4x + 4 =75 because the x^2 cancel.
Can you solve from here
the other leg is x
the hypotenuse is x + 2
c^2 = a^2 + b^2
(x+2)^2 = x^2 + (5 rt3)^2
x^2 + 4x + 4 = x^2 + 75
4x + 4 =75 because the x^2 cancel.
Can you solve from here
Thank you both! Worked perfectly!
1 answer