You can
put this solution on YOUR website!Let the 3 angles of the triangle be A,B,C.
You know that since it is a triangle, you can write:
Equation #1:
You are given the following information:
Equation #2:
Equation #3:
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You have 3 equations and 3 unknowns. Anytime you have at least as many equations as unknowns, you can solve the problem!
Substitute the expression for C from Equation #3 into Equation #1:
Solve for B in terms of A:
Equation #4:
Substitute Equation #4 into Equation #2:
Solve for A:
Plug this value for A into Equation #2 and solve for B:
Plug the value for A into Equation #3 and solve for C:
Plug these values for A, B, and C into Equation #1 and make sure it still holds true. I will leave that part to you.
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Good Luck,
tutor_paul@yahoo.com
You can
put this solution on YOUR website!One angle of a triangle is 3 less than twice another. The other is 4X the sum of the small angle and 2. What are the angle measurements??
Let the smallest angle be S
Since the middle angle is 3 less than twice the smallest, then middle angle = 2S - 3
Since the largest angle is 4 times the sum of the smallest angle, and 2, then largest angle = 4(S + 2), or 4S + 8
Since the angles of a triangle are supplementary, it follows that:
S + 2S - 3 + 4S + 8 = 180
7S + 5 = 180
7S = 175
= 25
Middle angle = 47 ------> [2(25) - 3]
Largest angle = 108 -----> [4(25 + 2)]
Therefore, the smallest, middle, and largest angles are:
, respectively.
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