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Irina18 [472]
3 years ago
9

The leg of an isosceles triangle has a length 2x+4 and the base has length 3x. The

Mathematics
1 answer:
ikadub [295]3 years ago
4 0

Answer:

Base = 57

Step-by-step explanation:

Given

Length = 2x + 4

Base = 3x

Perimeter = 141

Required

Determine the length of the base

The perimeter of an isosceles triangle is:

Perimeter = 2*Length + Base

141 = 2 (2x + 4) + 3x

141 = 4x + 8 + 3x

Collect Like Terms

4x + 3x = 141 - 8

7x = 133

Divide both sides by 7

x = 19

To get the base, we substitute 19 for x in Base = 3x

Base = 3 * 19

Base = 57

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Answer:

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Step-by-step explanation:

To find the missing side we use the hypotenuse theorem.

a^2 + b^2 = c^2

The longest side of the triangle would be c. So substitute the numbers into the variables.

a^2 + 12^2 = 13^2

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Step-by-step explanation:

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<u>Step-by-step explanation:</u>

Step 1:

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Step 2:

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