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 cm²
(b) 14 cm²
(c) 24 cm²
(d) 96 cm²