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erica [24]
3 years ago
11

How do you decompose a parallelogram into two triangles

Mathematics
1 answer:
alukav5142 [94]3 years ago
5 0

Answer:

Step-by-step explanation:

A parallelogram can always be decomposed into two identical triangles by a segment that connects opposite vertices. Going the other way around, two identical copies of a triangle can always be arranged to form a parallelogram, regardless of the type of triangle being used.

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Now you can apply the quadratic formula \frac{-b\±\sqrt{b^2-4ac}}{2a} to find the solution for w.

\frac{-(-28)\±\sqrt{(-28)^2-4(2)(98)}}{2(2)} = \frac{28\±\sqrt{784-784}}{4} = \frac{28}4 = \boxed{7}

(The quadratic formula is highly unnecessary in this problem, however. You could easily divide all values by 2 to get w²-14w+49=0, which factors into (w-7)²=0, for which 7 is the only solution which puts a factor of the quadratic equal to 0.)


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