SOLUTION: Use the figure. Find the lengths of the remaining sides of the triangle. See Example 7. (Objective 3) a = 18 2 A right triangle has three labeled sides and three labeled ang

Algebra ->  Radicals -> SOLUTION: Use the figure. Find the lengths of the remaining sides of the triangle. See Example 7. (Objective 3) a = 18 2 A right triangle has three labeled sides and three labeled ang      Log On


   

Question 1154726: Use the figure. Find the lengths of the remaining sides of the triangle. See Example 7. (Objective 3)
a = 18
2
A right triangle has three labeled sides and three labeled angles.
One leg is labeled a.
One leg is labeled b.
The hypotenuse is labeled c.
The angle opposite the side labeled a is labeled 45°.
The angle opposite the side labeled b is labeled 45°.
The angle opposite the hypotenuse is a right angle.
b =

c =
Found 2 solutions by MathLover1, MathTherapy:
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!


if given that both angles 45°, means sides a=b; so highlight%28b=18%29
if a+=+18, hyp=c, and theta=45°, we have

using Pythagorean theorem:
c%5E2+=a%5E2%2Bb%5E2
c%5E2+=18%5E2%2B18%5E2
c%5E2+=2%2A18%5E2
c=sqrt%282%2A18%5E2%29
highlight%28c+=18%2Asqrt%282%29%29-> exact solution
c+=25.5-> approximately


Answer by MathTherapy(10549) About Me  (Show Source):
You can put this solution on YOUR website!

Use the figure. Find the lengths of the remaining sides of the triangle. See Example 7. (Objective 3)
a = 18
2
A right triangle has three labeled sides and three labeled angles.
One leg is labeled a.
One leg is labeled b.
The hypotenuse is labeled c.
The angle opposite the side labeled a is labeled 45°.
The angle opposite the side labeled b is labeled 45°.
The angle opposite the hypotenuse is a right angle.
b =

c = 
This is an ISOSCELES right-triangle.

With one of the 2 congruent legs being 18, the other is 18 also.

Hypotenuse: highlight_green%28matrix%281%2C3%2C+leg%28sqrt%282%29%29%2C+%22=%22%2C+18sqrt%282%29%29%29