SOLUTION: Fatima is observe that one angle of an isosceles triamgles is 35 degrees greater than the other angle. Find the remaining unknown angles. Fimd the perimeter and area of the triangl

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Question 1040499: Fatima is observe that one angle of an isosceles triamgles is 35 degrees greater than the other angle. Find the remaining unknown angles. Fimd the perimeter and area of the triangle (in terms of bases of the triangles)
Found 2 solutions by stanbon, ankor@dixie-net.com:
Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website!
Insufficient information.

Answer by ankor@dixie-net.com(22740) (Show Source):
You can put this solution on YOUR website!
Fatima is observe that one angle of an isosceles triangle is 35 degrees greater than the other angle.
Find the remaining unknown angles.
there are two solutions to this problem, here is one solution
:
let A = the one angle of the triangle,
and
B = A + 35, the two equal angles
so we have
A + 2(A+35) = 180
A + 2A + 70 = 180
3A = 180 - 70
A = 110/3
A = 36 degrees is one angle
and
36 + 35 = 71 degrees are the equal angles
:
Find the perimeter (in terms of base of the triangle)
the base of the triangle will be a; {opposite angle A}
the equal sides will b, (opposite angles B)
P = a + 2b
Find b using the cosine:
Cos(71) =
b =
P = a + 2()
P = a +
:
area of the triangle (in terms of base of the triangle)
Find the height of the triangle using the tangent of B
tan(71) = h/.5a
h = 3.018*.5a
h = 1.509a the area
A = a * 1.509a
A = .754a^2