Question

Q 1. Areas of two similar triangles are 225 sq. cm. and 81 sq. cm. If a side of a larger triangle is 20 cm. then find the corresponding side of the smaller triangle? *
options:
20cm.
12 cm.
15cm.
16 cm.

Q 2. Ratio of corresponding sides of two similar triangles is 2 : 5. If the area of the smaller triangle is 64 sq. cm. then what is the area of the bigger triangle? *
options:
250 sq. cm.
200 sq. cm.
400 sq. cm.
300 sq. cm.

Answer 1

Answer:

Step-by-step explanation:

Q1) ratio of area of triangles = (ratio of sides ) ^2

225/81=(sides ratio)^2

sides ratio =15/9 = 5/3

and now 5/3=20/x

x=12 cm

so ans is b) 12cm

Q2)Using same logic as above

(2/5)^2=64/x

4/25=64/x

x=400 sq cm