The lengths of two parallel sides of a trapezium are 10 cm and 15 cm. The lengths of other two sides are 4 cm and 6 cm. How will you find out the area and magnitudes of 4 angles of the trapezium?

Question

↳Redirected from "A 5.00 L sample of helium at STP expands to 15.0 L. What is the new pressure on the gas?"

8969 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2016-06-24T11:07:58

enter image source here

so, from the figure, we know:

#h^2 +x^2 = 16# ................(1)

#h^2+y^2 = 36# ................(2)

and, #x+y = 5# ................(3)

#(1)-(2) => (x+y)(x-y)= -20\ #

#=>y-x = 4# (using eq. (3))..... (4)

so, #y = 9/2 # and #x = 1/2#

and so, #h = sqrt63/2#

From these parameters the area and the angles of the trapezium can be obtained easily.