In the given figure ΔABC and ΔDEF are similar, BC = 3 cm, EF = 4 cm and area of ΔABC = 54 cm2. The area of Δ DEF is
72 sq cm
96 sq cm
36 sq cm
144 sq cm
Two poles of height 6 m and 11 m stand on a plane ground. If the distance between their feet is 12 m, find the distance between their tops.
10 m
11 m
12 m
13 m
Find the altitude of an equilateral triangle of side 2a?
a
3a
√3 a
4a
If ratio of areas of two similar triangle is 9 : 16 then ratio of their medians is
3 : 4
1 : 4
4 : 3
3 : 1
The areas of two similar triangles are 81 cm2 and 49 cm2 respectively. If the altitude of the first triangle is 6.3 cm then the corresponding altitude of the other is.
4.9 cm
9.4 cm
49 cm
9.2 cm
A ladder 10 cm long reaches a windows 8 cm above the ground. The distance of the foot of the ladder from base of the
wall is,
5 cm
6 cm
7 cm
12 cm
In figure two line segments AC and BD intersect each other at a point P such that PA = 6 cm, PB = 3 cm, PC = 2.5 cm, PD = 5 cm, ∠APB = 50° and ∠CDP = 30°. Then ∠PBA is equal to
70o
80o
90o
100o
The areas of two similar triangles are respectively 9 cm2 and 16 cm2. The ratio of their corresponding side is
9:16
1 : 2
2 : 3
ΔABC is such that AB = 3cm, BC = 2 cm and CA = 2.5 cm. If ΔDEF ~ ΔABC and EF = 4 cm, then perimeter of ΔDEF is
17.5 cm
15 cm
30 cm
22.5 cm
If two polygons are similar then their sides are
Equal
Congruent
Proportional
Both 1 and 2