# CASE STUDY QUESTION 16-Class X-Maths

CASE STUDY QUESTION 16-Class X-Maths

**Rahul is studying in X Standard. He is making a kite to fly it on a Sunday. Few questions came to his mind while making the kite. Give answers to his questions by looking at the figure.**

**(i) Rahul tied the sticks at what angles to each other?**

(a) 30° (b) 60° (c) 90° (d) 60°

**(ii) Which is the correct similarity criteria applicable for smaller triangles at the upper part of this kite?**

(a) RHS (b) SAS (c) SSA (d) AAS**Sol.** (b) SAS

**(iii) Sides of two similar triangles are in the ratio 4:9. Corresponding medians of these triangles are in the ratio,**

(a) 2:3 (b) 4:9 (c) 81:16 (d) 16:81

Since ratio of sides of similar triangles = Ratio of their corresponding medians

Therefore, the required ratio is 4 : 9.

**(iv) In a triangle, if square of one side is equal to the sum of the squares of the other two sides, then the angle opposite the first side is a right angle. This theorem is called as,**

(a) Pythagoras theorem (b) Thales theorem

(c) Converse of Thales theorem (d) Converse of Pythagoras theorem**Sol.** (d) Converse of Pythagoras theorem

**(v) What is the area of the kite, formed by two perpendicular sticks of length 6 cm and 8 cm?**

(a) 48 cm^{2}

(b) 14 cm^{2}

(c) 24 cm^{2}

(d) 96 cm^{2}