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vitfil [10]
3 years ago
13

Can a obtuse triangle also be an equilateral triangle? Explain

Mathematics
1 answer:
valkas [14]3 years ago
7 0
No. An obtuse triangle can not be an equilateral triangle because for a triangle to be equilateral, all three sides have to be the same measure and the same degree of angle (60). Since, an obtuse triangle has an angle greater than 90, the other two sides could be equal, but then you would have an obtuse isosceles triangle, not an equiangular equilateral triangle. Therefore, the obtuse angle in the obtuse triangle will limit the triangle from being an equilateral triangle.
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Answer:

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General Formulas and Concepts:

<u>Pre-Algebra</u>

  • Order of Operations: BPEMDAS
  • Equality Properties

Step-by-step explanation:

<u>Step 1: Define equation</u>

5(x + 4) = -2(-4 - x) + 3

<u>Step 2: Solve for </u><em><u>x</u></em>

  1. Distribute:                                   5x + 20 = 8 + 2x + 3
  2. Combine like terms:                   5x + 20 = 2x + 11
  3. Subtract 2x on both sides:        3x + 20 = 11
  4. Subtract 20 on both sides:        3x = -9
  5. Divide 3 on both sides:              x = -3

<u>Step 3: Check</u>

<em>Plug in x to verify it's a solution.</em>

  1. Substitute:                    5(-3 + 4) = -2(-4 - -3) + 3
  2. Simplify:                        5(-3 + 4) = -2(-4 + 3) + 3
  3. Add:                              5(1) = -2(-1) + 3
  4. Multiply:                        5 = 2 + 3
  5. Add:                              5 = 5

Here we see that 5 does indeed equal 5. ∴ x = -3 is a solution of the equation.

And we have our final answer!

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