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ValentinkaMS [17]
3 years ago
5

Find the unknown side of the triangle. Urgent

Mathematics
1 answer:
kramer3 years ago
4 0

Answer:

13 in

Step-by-step explanation:

It’s a right triangle, so use the Pythagorean Theorem.

12²+5²=c²

144+25=c²

169=c²

√169=c

13=c

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2 years ago
The three lines given below form a triangle. Find the coordinates of the vertices of the triangle.
LenKa [72]

Answer:

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Step-by-step explanation:

Make three systems with pairs of lines and solve them to work out the vertices.

1) <u>Line 1 and line 2</u>

  • -3x + 2y = 1
  • 2x + y = 11

<u>Double the second equation and subtract equations:</u>

  • -3x + 2y - 2(2x + y) = 1 - 2(11)
  • -3x - 4x = 1 - 22
  • -7x = - 21
  • x = 3

<u>Find y:</u>

  • 2*3 + y = 11
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The point is (3, 5)

2) <u>Line 1 and line 3</u>

  • -3x + 2y = 1
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<u>Triple the second equation and add up equations:</u>

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  • 2y + 12y = 1 + 27
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  • y = 2

<u>Find x:</u>

  • x + 4*2 = 9
  • x + 8 = 9
  • x = 1

The point is (1, 2)

3) <u>Line 2 and line 3</u>

  • 2x + y = 11
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<u>Double the second equation and subtract the equations:</u>

  • 2x + y - 2(x + 4y) = 11 - 2(9)
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<u>Find x:</u>

  • x + 4*1 = 9
  • x + 4 = 9
  • x = 5

The point is (5, 1)

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2 years ago
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