Given triangle ABC with vertices A(16,0), B(9,2), and C(2,0).

1 answer:

4 0

Given:

Triangle Point coordinates or vertices:
A(16,0)
B(9,2)
C(2,0)

Required:

Side with slope -2/7

Solution:

To know which side has the slope required, we need to calculate the slope of each paired point by the two-point slope formula:

m = (y2-y1)/(x2-x1)

We first try points A and B.

m1 = (2-0)/(9-16)

m1 = -2/7

Thus, the side with the slope -2/7 is side AB.

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Diagonal of the parallelogram divides the parallelogram in to two equal areas.

So area of parallelogram = 2(area of triangle)

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AB= 8, AD = 5 and BD = 11

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Area of triangle = $\sqrt{s(s-a)(s-b)(s-c)}\\\\where,\\ s =\frac{a + b + c }{2}$

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