If ABD is a triangle right angled at A and AC ⊥ BD, then$A{C}^{2}AC^2$ =

In $\mathrm{△}ABC,\backslash triangle\; ABC,$ DE || BC and $\frac{AD}{DB}=\frac{3}{5}\backslash frac\{AD\}\{DB\}\; =\; \backslash frac\{3\}\{5\}$ . If AC = 5.6 cm, then AE =

In a trapezium ABCD, AB || DC. E and F are points on non-parallel sides AD and BC respectively such that EF || AB. Then $\frac{AE}{ED}=\backslash frac\{AE\}\{ED\}\; =$

Given that $\mathrm{△}ABC\sim \mathrm{△}DEF\backslash triangle\; ABC\; \backslash sim\; \backslash triangle\; DEF$ and their areas are 64 $c{m}^{2}cm^2$ and. 121 $c{m}^{2}cm^2$ respectively. If EF = 15.4 cm, then BC=

If two triangles have the same base and area then they lies between ………

A flagpole 4 m tall casts a 6m shadow. At the same time, a nearby building casts a shadow of 24 m. Then the height of the building is

In the figure below, PQ || BC. If AP = 3, PB = 4 and AQ = 4, then QC =

$\mathrm{△}ABC\sim \mathrm{△}DEF\backslash triangle\; ABC\; \backslash sim\; \backslash triangle\; DEF$ and their areas are 16 $c{m}^{2}cm^2$ and 81 $c{m}^{2}cm^2$ respectively. If BC = 4 cm, then EF =

In the figure below, DE || BC. If AD = x, AE = x + 2, DB = x – 2 and CE = x – 1, then x =

In the figure, x = ……………