Question

6. ABCD is a trapenzium such that AB || CD. The lengths of AB,
BC and CD are 4 cm, 3 cm, and 6 cm respectively. Construct
two similar triangles and find length a side of the smaller triangle.
[Hints: Produce the two unparallel sides]​

Answer 1

Answer:

Step-by-step explanation:

Let AB=11 cm, CD=6 cm and AB is parallel to CD.

Let distance between foot of perpendicular h and A

is X.

So distance between B and foot of 2nd perpendicular from C=11–6-x=5-x.

There are 2 rt. angled triangles.

Applying pythagoran theory,

For one triangle,

h^2=3^2-x^2—————(1)

For 2nd triangle,

h^2=4^2-(5-x)^2————-(2)

From (1)&(2), x=1.8 cm and

required h=2.4 cm