SOLUTION: PLEAS I NEED HELP 1.IF ONE OF THE ANGLES IN A RIGHT TRIANGLE MEASURES 45 DEGREES, WHAT ARE THE MEASURES OF THE OTHER TWO ANGLES? 2.FIND THE PERIMETER OF A TRIANGLE WITH SIDE

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Question 34197: PLEAS I NEED HELP
1.IF ONE OF THE ANGLES IN A RIGHT TRIANGLE MEASURES 45 DEGREES, WHAT ARE THE MEASURES OF THE OTHER TWO ANGLES?
2.FIND THE PERIMETER OF A TRIANGLE WITH SIDES OF 4M, 2.3 M AN 3.7 M
PLEASE HELP
Answer by sarah_adam(201) (Show Source):
You can put this solution on YOUR website!
in right triangle we know one angle is 90 degrees
but we also know that the sum of measures of the three angles in a triangle is 180 degrees
also given one angle is 45 degrees
so the measure of third angle is:
x + y + z = 180
let x = 90 and y = 45
90 + 45 + z = 180
z = 180 - 45 - 90 = 45
so the three angles are 45, 45, 90

Perimeter of triangle = a+ b + c
a = 4 m ;b = 2.3 m ;and c = 3.7m
perimeter = 4+2.3+3.7 = 10 m