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inessss [21]
3 years ago
14

shannon said that a triangle with exactly 2 congruent sides and an obtuse angle is an equilateral obtuse triangle. describe her

error.
Mathematics
1 answer:
kolezko [41]3 years ago
4 0
Equilateral means that the 3 sides are equal length. For this to happen, the triangle needs to also have 3 equal angles, but it is mentionned that it has an obtus angle, therefore, not all angles are the same, meaning the 3 sides also aren't equivalent.

the triangle isn't equilateral
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Answer:

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Explanation:

\rightarrow \sf \dfrac{1}{x-5}+\dfrac{3}{x+2}=4

<u>make the denominators same</u>

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<u>join the fractions together</u>

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<u>cross multiply</u>

\rightarrow \sf x+2+3x-15=4(x-5)(x+2)

<u>simplify</u>

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<u>use quadratic formula</u>

\rightarrow \sf x = \dfrac{-\left(-16\right)\pm \sqrt{\left(-16\right)^2-4\cdot \:4\left(-27\right)}}{2\cdot \:4}

<u>simplify the following</u>

\rightarrow \sf x=\dfrac{4\pm\sqrt{43}}{2}

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Answer:

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