Question : In a right-angled triangle $\triangle$DEF, if the length of the hypotenuse EF is 12 cm, then the length of the median DX is:

Option 1: 3 cm

Option 2: 4 cm

Option 3: 6 cm

Option 4: 12 cm

Question : In a right-angled triangle, if the hypotenuse is 20 cm and the ratio of the other two sides is 4 : 3, the lengths of the sides are:

Option 1: 4 cm and 3 cm

Option 2: 8 cm and 6 cm

Option 3: 12 cm and 9 cm

Option 4: 16 cm and 12 cm

Question : In a triangle PQR, $\angle$Q = 90°. If PQ = 12 cm and QR = 5 cm, then what is the radius (in cm) of the circumcircle of the triangle?

Option 1: $5$

Option 2: $6$

Option 3: $6.5$

Option 4: $6\sqrt2$

Question : Possible lengths of the three sides of a triangle are:

Option 1: 2 cm, 3 cm, and 6 cm

Option 2: 3 cm, 4 cm, and 5 cm

Option 3: 2.5 cm, 3.5 cm, and 6 cm

Option 4: 4 cm, 4 cm, and 9 cm

Question : Suppose $\triangle ABC$ be a right-angled triangle where $\angle A=90°$ and $AD\perp BC$. If the area of $\triangle ABC =40$ cm$^{2}$ and $\triangle ACD =10$ cm$^{2}$ and $\overline{AC}=9$ cm, then the length of $BC$ is:

Option 1: 12 cm

Option 2: 18 cm

Option 3: 4 cm

Option 4: 6 cm