Question : $\angle A$ of $\triangle ABC$ is a right angle. $AD$ is perpendicular on $BC$. If $BC= 14$ cm and $BD= 5$ cm, then measure of $AD$ is:

Option 1: $2\sqrt5$ cm

Option 2: $\sqrt5$ cm

Option 3: $3\sqrt5$ cm

Option 4: $3.5\sqrt5$ cm

Question : If $\triangle ABC$~$\triangle PQR$, the ratio of perimeter of $\triangle ABC$ to perimeter of $\triangle PQR$ is 36 : 23 and QR = 3.8 cm, then the length of BC is:

Option 1: $4 \frac{103}{121} cm$

Option 2: $3 \frac{109}{121} cm$

Option 3: $5 \frac{109}{115} cm$

Option 4: $3 \frac{107}{115} cm$

Question : $\triangle{ABC}$ is a right angled triangle. $\angle \mathrm{C}=90°$, AB = 25 cm and BC = 20 cm. What is the value of $\mathrm{sec}\; A$?

Option 1: $\frac{5}{3}$

Option 2: $\frac{4}{5}$

Option 3: $\frac{4}{3}$

Option 4: $\frac{5}{4}$

Question : $\triangle \mathrm{RMS}$ is right-angled at M. The length of the base, RM = 4 cm and the length of perpendicular MS = 3 cm. Find the value of $\sec R$.

Option 1: $\frac{3}{4}$

Option 2: $\frac{5}{4}$

Option 3: $\frac{4}{5}$

Option 4: $\frac{2}{5}$

Question : In $\triangle$ABC, $\angle$A = $90^{\circ}$, BP and CQ are two medians. Then the value of $\frac{BP^2 + CQ^2}{BC^2}$ is:

Option 1: $\frac{4}{5}$

Option 2: $\frac{5}{4}$

Option 3: $\frac{3}{4}$

Option 4: $\frac{3}{5}$