Question

1. In each of the following, state whether the
triangle with given sides is a right triangle:
(i) A AABC, in which AB = 48 cm, BC =
(ii) A AABC, in which AB = 9.2 cm, BC =
64 cm and AC = 80 cm.
6.3 cm and AC = 4.6 cm.
(i) A AXYZ, in which XY = 32 cm, YZ =
40 cm and ZX = 48 cm.
(iv) A ADEF, in which DE = 6.4 cm, EF =
12 cm and DF
13.6 cm.​

Answer 1

Step-by-step explanation:

Let the parallel sides of trapezium be 'a' and 'b' and the distance between them i.e. the height of trapezium be 'h'.

Therefore area of trapezium is given by

=1/2 *(sum of parallel side)*(distance between parallel side i.e. height of trapezium) ……(1)

Now take 'a'=12 & 'b'=8 …. (Sides are given)

Therefore,

Sum of parallel sides=a+b=12+8…. (2)

Sum of parallel side=20cm

Area=60 cm^2 …..(given) …..(3)

Putting (2) & (3) in (1) we get,

60=1/2 * 20*h

h=60/10

h=6cm

Therefore height of trapezium is 6cm.