Triangles Test ...

Ram goes $$\sqrt{12.5}km$$ towards west from a certain point. Then after turning to his right he again goes same distance. In the end he goes $$25km$$ towards South-East. How far is he now from his starting point?

ABCD is parallelogram and P is the mid point of the side AD. The line BP meets the diagonal AC in Q. Find the ratio AQ $$:$$ QC.

In a $$\triangle ABC, P$$ and $$Q$$ are the points on sides $$AB$$ and $$BC$$ respectively, such that $$PQ\parallel BC$$. Also, $$AP=2\ cm, PB=4\ cm, AQ=3\ cm$$ and $$QC=6\ cm$$ then find $$BC$$

Triangles ABC and DEF are similar. If their areas are 64 $$cm^2$$ and 49 $$cm^2$$ and if AB is 7 cm, then find the value of DE.

In $$\triangle DEF$$ &$$ \triangle PQR$$,  $$\angle R = \angle F$$, then both triangles are similar if

Check if the triangles are similar. If similar, write the similarity in symbolic form. Mention the similarity condition used.

$$ABC$$ and $$BDE$$ are two equilateral triangles such that $$D$$ is the mid point of $$BC$$. Ratio of the areas of triangle $$ABC$$ and $$BDE$$ is

Given ΔABC is similar to ΔPQRΔABCisΔPQR. Where AB=1cm and PQ =3 cm .Find the ratio of their areas.

Triangle $$DEF$$ is similar to Triangle $$ABC$$, $$DE:AB=2:3$$ and area of triangle $$DEF =44 sq. cm.$$. Area of triangle $$ABC =$$

Given, $$\triangle ABC$$ $$\sim \triangle PQR.$$ If $$\dfrac{ar(\triangle ABC)}{ar(\triangle PQR)}=\dfrac{9}{4}$$ and $$AB=18$$ cm, then find the length of $$PQ.$$