If in triangles ABC and EDF,\(\cfrac { AB }{ DE } =\cfrac { BC }{ FD } \) then they will be similar, when

In ∆LMN, \(\angle\)L = 60^o, \(\angle\)M = 50^o. If ∆LMN ~ ∆PQR then the value of \(\angle\)R is

If in \(\triangle\)ABC, DE || BC, AB = 3.6 cm, AC = 2.4 cm and AD = 2.1 cm then the length of AE is

Two poles of heights 6 m and 11 m stand vertically on a plane ground. If the distance between their feet is 12 m, what is the distance between their tops?

The two tangents from an external points P to a circle with centre at O are PA and PB. If \(\angle APB\) = 70^o then the value of \(\angle AOB\) is

In figure if PR is tangent to the circle at P and O is the centre of the circle, then \(\angle PQR\) is

Is \(\triangle\)ABC ~ \(\triangle\)PQR?

If \(\triangle\)ABC is similar to \(\triangle\)DEF such that BC = 3 cm, EF = 4 cm and area of \(\triangle\)ABC = 54 cm². Find the area of \(\triangle\)DEF.

Construct a triangle similar to a given triangle PQR with its sides equal to \(\frac { 7 }{ 4 } \) of the corresponding sides of the triangle PQR (scale factor \(\frac { 7 }{ 4 } \)>1)

In \(\triangle\) ABC, if DE||BC, AD = x, DB = x − 2, AE = x +2 and EC = x − 1 then find the lengths of the sides AB and AC.

Construct a \(\triangle\)PQR in which PQ = 8 cm, \(\angle\)R = 60^o and the median RG from R to PQ is 5.8 cm. Find the length of the altitude from R to PQ.

A girl looks the reflection of the top of the lamp post on the mirror which is 6.6 m away from the foot of the lamp post. The girl whose height is 12.5 m is standing 2.5 m away from the mirror. Assuming the mirror is placed on the ground facing the sky and the girl, mirror and the lamp post are in a same line, find the height of the lamp post.