In ΔABC, DE is || to BC, meeting AB and AC at D and E. If AD = 3 cm, DB = 2 cm and AE = 2.7 cm, then AC is equal to
6.5 cm
4.5 cm
3.5 cm
5.5 cm
Sides of two similar triangles are in the ratio 4 : 9. Areas of those triangles are in the ratio
2 : 3
4 : 9
81 : 16
16 : 81
In triangles ABC and DEF, B = E, C = F, then
If tangents PA and PB from a point P to a circle with center O are inclined to each other an angle of 80°, then POA is equal to
50°
60°
70°
80°
If two triangles are similar such that ratio of their areas is 25 : 361. Then ratio of corresponding medians is
5 : 19
1 : 6
5 : 29
15 : 19
Which of the following statement is false?
All congruent figures are similar
All similar figures are congruent
Equivalent triangles are similar
All the rectangles are not similar
Determine the length of a tangent to a circle with radius 5 cm, drawn from a point at a distance of 13 cm, from the center of the circle.
12 cm
13 cm
14 cm
15 cm
If AB, AC,PQ are tangent as in figure and AB = 5 cm, find the perimeter of ΔAPQ
5 cm
10 cm
20 cm
In the given figure, if TP and TQ are the two tangents to a circle with center O so that POQ = 110°, then PTQ is equal to
90°
ABC and BDE are two equilateral triangles such that D is the mid point of BC. Ratio to the area of triangles ABC and BDE is
2 : 1
1 : 2
4 : 1
1 : 4