Questions on Geometry: Triangles answered by real tutors!

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Question 150641: 1.what is the perimeter of a 45 degree. 45 degree, 90 degree triangle with hypotenuse length of 6?
A= 12
B=12 square root 2
C= 9 square root 3
D= 6+6square root 2


2. the lengths of two sides of an obtuse triangle are 12 and 16. which could NOT be the length of the third side?
A=9
B=10
C=20
D=25
: 1.what is the perimeter of a 45 degree. 45 degree, 90 degree triangle with hypotenuse length of 6?
A= 12
B=12 square root 2
C= 9 square root 3
D= 6+6square root 2


2. the lengths of two sides of an obtuse triangle are 12 and 16. which could NOT be the length of the third side?
A=9
B=10
C=20
D=25

Answer by vleith(1162) About Me  (Show Source):
You can put this solution on YOUR website!
The lengths of the sides of the right triangle with 45degree angles and a hypotenuse of 6 is
36 = a^2 + a^2 Both sides are the same length
36 = 2a^2
18 = a^2
3sqrt(2) = a
So the perimeter is 6 + 3*sqrt(2) + 3*sqrt(2)
Answer D

2) Any triangle with sides in the ratio of 3:4:5 is a right triangle.
So 12:16:20 is a right triangle. A right triangle is not obtuse.
Answer C