Question

The area of the qaudrilateral is 246m sqaure. the perpendicular from the opposite vertices on a diagonal of the qaudrilateral are 6.8m and 9.6m. find the length of the diagonal.

please give the answer fast

Answer 1

Answer:

30 m

Step-by-step explanation:

From figure:

Let ABCD be the quadrilateral and AC be the length of the diagonal.

Given, BE = 6.8 m and DF = 9.6 m.

Area of quadrilateral = 246 m².

∴ Area of ΔABC + area of ΔADC = 246

⇒ (1/2) * AC * BE + (1/2) * AC * DF = 246

⇒ AC * (BE + DF) = 492

⇒ AC * (6.8 + 9.6) = 492

⇒ AC * 16.4 = 492

⇒ AC = 30 m.

Therefore, Length of the diagonal = 30 m.

Hope it helps!

Answer 2

Answer:

Step-by-step explanation:

Area of quadrilateral = (1/2) * (h1 + h2) * l

246 = 1/2 * (6.8 + 9.6) * l

492 = 16.4 * l

l = 30