In $\mathrm{△}ABC\backslash triangle\; ABC$, E and F are the points on the sides AB and AC respectively. If AE = 2 cm, EB = 2.5 cm, AF = 4 cm and FC = 5 cm, then

From the given figure, the value represented by ‘x’ is ……

From the given figure, ar $(\mathrm{△}ADE)(\backslash triangle\; ADE)$: ar $(\mathrm{△}ABC)(\backslash triangle\; ABC)$ = 

The altitude of an equilateral triangle of side ‘x’ cm is

Areas of two similar triangles are 100 $c{m}^{2}cm^2$ and 64 $c{m}^{2}cm^2$ . If the median of bigger triangle is 10 cm, then the median of the smaller triangle is …………

If $\mathrm{△}PQR\backslash triangle\; PQR$ ~ $\mathrm{△}XYZ\backslash triangle\; XYZ$ and $\mathrm{\angle }X\backslash angle\; X$= 30°, $\mathrm{\angle }Q\backslash angle\; Q$=50°, then $\mathrm{\angle }Z\backslash angle\; Z$ = …………

If line segment showed by arrow sign are parallel in the given figure, then x = ……..

In Heron’s formula, area of triangle = $\sqrt{S(S-a)(S-b)(S-c)},\backslash sqrt\{S(S-a)(S-b)(S-c)\},$ S is ……………… of the triangle.

In $(\mathrm{△}ABC)(\backslash triangle\; ABC)$ with $\mathrm{\angle }A\backslash angle\; A$ = 90°; from A, perpendicular AD is drawn on BC. Which one of the following is not correct?

If $\mathrm{△}PQR\backslash triangle\; PQR$ $\sim \backslash sim$ $\mathrm{△}XYZ\backslash triangle\; XYZ$, QR = 3 cm, YZ = 4 cm, ar $\mathrm{△}PQR\backslash triangle\; PQR$ = 54 $c{m}^{2}cm^2$ , then ar $\mathrm{△}XYZ\backslash triangle\; XYZ$ = ………