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Find the side lengths of each triangle.

Find the side lengths of each triangle.-example-1

1 Answer

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Answer:

9) 36 36 and 36 (all three sides equal)

10) 3.1 3.1 and 3.3 (two sides equal)

Explanation:

#9

This is an equilateral triangle so all three sides are equal
Expressions for two of the sides are 6y and 4y + 12

Set these expressions equal to each other and solve for y:
6y = 4y + 12
6y - 4y = 12
2y = 12
y =6

So the side with expression 6y becomes 6 · 6 = 36

Since it is an equilateral triangle, each of the three sides is 36

#10
This is an isosceles triangle with side 2x + 1.7 = x + 2.4

Solve for x:
2x + 1.7 = x + 2.4

2x - x = 2.4 - 1.7
x = 0.7

So the side with x + 2.4 = 0.7 + 2.4 = 3.1 same as the side with 2x + 1.7

The third side with 4x + 0.5 = 4(0.7) + 0.5 = 2.8 + 0.5 = 3.3

So the sides of this triangle are 3.1, 3.1 and 3.3

answered
User AravindaM
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