The kids in the neighborhood often play a variation of the game hopscotch. In one section of the park, there are triangles and rectangles painted on the ground. What is the height, h, of one blue triangle if the area of the triangle is 90 square inches?
5 in.
10 in.
20 in.
72 in.
A triangle has a base of 18 inches and height

10 in.

Step-by-step explanation:

3. parallelogram

step-by-step explanation:

we turn each of our sides into direction vectors

ab=b-a=(3 - 7, 1 - 0) = (-4, 1)

bc=c-b=(1,6)

cd=d-c=(4,-1)

da=a-d=(-1,-6)

we see how the opposite sides have negated direction vectors; this is characteristic of a parallelogram.   we have congruent sides ab=cd and bc=da with unequal lengths because 1^2+6^2 is different from (-4)^2+1^2.   so it's not a square or a rhombus.  

we check the dot product of direction vectors of adjacent sides.   we have

ab dot bc = -4(1) + 1(6) = 2

that's not zero so the sides are not perpendicular.   we've ruled out rectangle.

the direction vectors indicate two pairs of congruent parallel sides, so we choose parallelogram over trapezoid.

da freeck kinda math is this just drop out

step-by-step explanation: