Question : In triangle ABC, AD BE and CF are the medians intersecting at point G and the area of triangle ABC is 156 cm². What is the area (in cm²) of triangle FGE?

Option 1: 13

Option 2: 26

Option 3: 39

Option 4: 52

Question : In $\triangle$ABC, the straight line parallel to the side BC meets AB and AC at the points P and Q, respectively. If AP = QC, the length of AB is 16 cm and the length of AQ is 4 cm, then the length (in cm) of CQ is:

Option 1: $(2 \sqrt{21}+2)$

Option 2: $(2 \sqrt{18}-2)$

Option 3: $(2 \sqrt{17}-2)$

Option 4: $(2 \sqrt{19}+2)$

Question : Two triangles XYZ and UVW are congruent. If the area of $\triangle$XYZ is 58 cm², then the area of $\triangle$UVW will be:

Option 1: 58 cm²

Option 2: 116 cm²

Option 3: 29 cm²

Option 4: 15 cm²

Question : If in a $\triangle$ABC, D and E are on the sides AB and AC, such that, DE is parallel to BC and $\frac{AD}{BD}$ = $\frac{3}{5}$. If AC = 4 cm, then AE is:

Option 1: 1.5 cm

Option 2: 2.0 cm

Option 3: 1.8 cm

Option 4: 2.4 cm

Question : The sides of a triangle are of length 8 cm, 15 cm, and 17 cm. Find the area of the triangle.

Option 1: 65 cm²

Option 2: 75 cm²

Option 3: 60 cm²

Option 4: 70 cm²