SOLUTION: I have 2 triangles in a trapezoid. there is an "X" in the trapezoid coneecting corners and I need to find the height of 2 verticle triangles ( >< ) and one has the base of nine and

Question 142911: I have 2 triangles in a trapezoid. there is an "X" in the trapezoid coneecting corners and I need to find the height of 2 verticle triangles ( >< ) and one has the base of nine and the other a base of 15 (the bases of the triangles are the parallel lines in the trapezoid which has an area of 27) I need to find the height of a triangle with the base of 15!
Answer by psbhowmick(878) (Show Source): You can put this solution on YOUR website!

Let the trapezoid be ABCD.
Given: AB = 15 units, CD = 9 units, Area of trapezoid ABCD = 27 sq units.
Draw CE, perpendicular to AB from C at E. Let CE = h units.
Observe that CE is the height for both the triangles ABC and ACD as their bases are parallel.

Area of trapezoid ABCD
= Area of triangle ABC + Area of triangle ACD
= sq units [since

]
= sq units
= sq units
= sq units

But area of trapezoid ABCD is given to be 27 sq units.
So,
units

Thus, required height is 2.25 units.
RELATED QUESTIONS
Find the height of an isosceles trapezoid whose bases are 8 inches and 24 inches and the... (answered by solver91311)

ABCD is an isosceles trapezoid with a height of 4 and bases a + 2 and a + 4. Find the... (answered by josgarithmetic)

I need to find the area of a trapezoid but the trapezoid isn't a isosceles trapezoid.... (answered by Theo)

a trapezoid with area 152 has a longer base of length 22. The shorter base and the height (answered by Boreal)

Help to solve and figure out Rose's garden is in the shape of a trapezoid. If the height... (answered by checkley71)

Here is the question I need help with. I know I have all the parts of the questions on... (answered by mananth)

A garden is in the shape of a trapezoid. If the height of the trapezoid is 16 m, one... (answered by venugopalramana)

Rose's garden is in the shape of a trapezoid. If the height of the trapezoid is 16m, one... (answered by rapaljer)

Rose's garden is in the shape of a trapezoid. If the height of the trapezoid is 16m, one... (answered by stanbon,sarah_adam)