Answer:
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Step-by-step explanation:
The Triangle inequality theorem of a triangle says that the sum of any of the two sides of a triangle is always greater than the third side. The correct options are A, B, and C.
<h3>What is the triangle inequality theorem?</h3>
The Triangle inequality theorem of a triangle says that the sum of any of the two sides of a triangle is always greater than the third side.
Suppose a, b and c are the three sides of a triangle. Thus according to this theorem,
- (a+b) > c
- (b+c) > a
- (c+a) > b
For the given triangle, using the triangle inequality law, we can write,
EF + FG > EG
FG + EG > EF
EG + EF > FG
Hence, the correct options are A, B, and C.
Learn more about the Triangle Inequality Theorem:
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Answer:
204.2 cm
Step-by-step explanation:
equilateral means all sides are of equal length.
the perimeter of such a triangle is simply 3 times one of these sides.
so,
612.6 = 3×0.2×(10x + 90) = 0.6×(10x+90) = 6x + 54
6x = 558.6
x = 93.1
so, a single side is
0.2×(10×93.1 +90) = 0.2×(931 + 90) = 0.2×1021 = 204.2 cm
to check
3×204.2 = 612.6 = the original perimeter.
so, correct.
Answer:
15
Step-by-step explanation:
5a - 10b = 45
5a - (10×3) = 45
5a - 30 = 45
5a = 45 + 30
5a = 75
a = 15
