Triangles Test ...

In the adjacent figure, P and Q are points on the sides AB and AC respectively of a triangle ABC. PQ is parallel to BC and divides the triangle ABC into 2 parts, equal in area. The ratio of $$PA:AB=$$

If $$\triangle ABC\sim \triangle QRP,\dfrac{Ar(ABC)}{Ar(QRP)}=\dfrac{9}{4}$$,$$AB=18\ cm$$ and $$BC=15\ cm$$; then $$PR$$ is equal to:

In the given figure, $$\angle YXZ=\angle XPZ,$$ then, $$\dfrac{ZX}{ZY}$$ is equal to:

Diagonals AC and BD of a trapezium ABCD with $$AB\parallel DC$$ intersect each other at the point O ,$$\dfrac{OA}{OC}=?$$

In a circle with centre $$O$$, $$OD$$ $$\perp$$ chord $$AB$$. If $$BC$$ is the diameter, then which of the following option is correct:

In the above figure, find the length of $$AD$$

It is given that $$\triangle ABC\sim \triangle PQR$$ with $$\dfrac{BC}{QR}=\dfrac{1}{3}$$. Then, $$\dfrac{A(\triangle PRQ)}{A(\triangle BCA)}$$ is equal to:

The line segments AB and BC  are perpendicular to each  other. If $$AB = 4$$ cm and $$BC = 3$$  cm, then radius of the circle  passing through A, B, C  will be

The area of a right angled isosceles triangle, whose hypotenuse is equal to $$270$$ m, is:

The intercepts made by 3 parallel lines on a transverse line $$(l_1)$$ are in the ratio 1 : 1. A second transverse line $$(l_2)$$ making angle of $$30^{\circ}$$ with $$l_1$$ is drawn. The corresponding intercepts on $$l_2$$ are in the ratio: