1. ? DEF and ? GHI are similar triangles. Length of AB is 10 cm and length of the corresponding side DE is 6 cm. What is the ratio of Perimeter of ?ABC to ?DEF?
3. In ?DEF, G and H are points on side DE and DF respectively. GH is parallel to EF. If G divides DE in the ratio 3:2 and HF is 8 cm, then the length of DF is
4. Points P and Q lie on side AB and AC of triangle ABC respectively such that segment PQ is parallel to side BC. If the ratio of AP:PB is 1:4 and area of ? APQ is 4 sq cm, what is the area of trapezium PQCB?
7. In an isosceles ?ABC, AD is the median to the unequal side meeting BC at D. DP is the angle disector of ?ADB and PQ is drawn parallel to BC meeting AC at Q. Then the measure of ?PDQ is
10. A wooden bowl is in shape of a hollow hemisphere of internal radius 7 cm and thickness 1 cm. What is the total surface area (in sq.cm) of the bowl? (Take: = 22/7)