SOLUTION: I have a right triangle ABC. I know angle A is 90 degrees. Angle B is "3x" and angle C is "(y+7)". I have to solve for both variables. Also, AB and AC are congruent.

Algebra ->  Angles -> SOLUTION: I have a right triangle ABC. I know angle A is 90 degrees. Angle B is "3x" and angle C is "(y+7)". I have to solve for both variables. Also, AB and AC are congruent.       Log On


   



Question 825717: I have a right triangle ABC. I know angle A is 90 degrees. Angle B is "3x" and angle C is "(y+7)". I have to solve for both variables. Also, AB and AC are congruent.
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
You have two congruent legs which means that you have an isosceles right triangle. Therefore, you basically have a 45-45-90 triangle (the base angles are equal to 45)

So...

angle B = 45 degrees

3x = 45

x = 45/3

x = 15

and

angle C = 45 degrees

y+7 = 45

y = 45-7

y = 38