The length of the diagonal of a square is $7\sqrt{2}7\backslash sqrt2$ cm, then the area of the square is ……… $c{m}^{2}cm^2$

In the given figure DE || BC and AE : EC = 4 : 7, then BC: DE = ……

In a equilateral triangle ABC, D is a point on side BC, such that BD = $\frac{1}{3}\backslash frac\{1\}\{3\}$ BC. Then 9 $A{D}^{2}AD^2$ =...........

The angles of a triangle are 30°, 60° and 90°. The ratio of its sides is ………

In a equilateral triangle ABC, if AD ⊥ BC, then ………

Two isosceles triangles have equal angles and their areas are in the ratio of 16 : 25, then the ratio of their corresponding heights is …………

In $\mathrm{△}ABC\backslash triangle\; ABC$ , AD is bisector of $\mathrm{\angle }A\backslash angle\; A$ if BD = 5 cm, BC = 7.5 cm, then AB: AC = ………

In the quadrilateral DEFG a circle is inscribed touching quadrilateral at R, S, P, Q. If ES = 5 cm, PF = 7 cm, QG = 5 cm, DR = 4 cm; then perimeter of the quadrilateral is ……… 

If $\mathrm{△}ABC\sim \mathrm{△}EFD\backslash triangle\; ABC\; \backslash sim\; \backslash triangle\; EFD$ and $\mathrm{\angle }A\backslash angle\; A$ = 40° $\mathrm{\angle }F\backslash angle\; F$ = 80° $\mathrm{\angle }C\backslash angle\; C$ = ………

$\mathrm{△}ABC\sim \mathrm{△}PQR\backslash triangle\; ABC\; \backslash sim\; \backslash triangle\; PQR$ , AB = 3.6 cm, PQ = 2.4 cm and AC = 8.1 cm, PR = …………. cm.