114k views
2 votes
6. The areas of two trapeziums are 25 cm? and 36 cm?, Find the ratio of their corresponding sidesif they are similar.

1 Answer

4 votes

The area of a trapezium is given to be:


A=(1)/(2)(a+b)h

If the two trapeziums are similar, then we have that the ratio of corresponding sides will be the ratio of the square roots of their areas.

Therefore, the ratio will be:


(√(25))/(√(36))=(5)/(6)

Therefore, the ratio is 5:6.

User Leo Goodstadt
by
9.0k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories