Question

Areas of two similar triangles are 81 and 144 sq.Cms. Respectively. If the base of smaller one is 3cms. Find the corresponding base of the other?

Answer 1

Question:

Areas of two similar triangles are 81 and 144 Cm² Respectively. If the base of smaller one is 3cms. Find the corresponding base of the other?

Method of Solution:

We know that Area of Square of Triangle is Equal to the Corresponding Square of  their base.

Let the  Smaller Triangle be ∆ABC and their Base Is AB.

Let the Larger Triangle be ∆DEF  and their Base is DE.

Now, According to the Question's Statement!

∆ABC/∆DEF = AB²/DE²

Substitute the Given Value in Equation Formula!

∆ABC/∆DEF = AB²/DE²

=> 81/144 = (3)²/DE²

=> √81/√144 = 3/DE

=> 9/12 = 3/DE

=> 9DE = 12×3

=> 9DE = 36

•°• DE = 4 Cm.

Hence, Corresponding base of the other ∆ is 4 cm.

Answer 2

∆ABC/∆DEF = AB²/DE²



∆ABC/∆DEF = AB²/DE²

=81/144 = (3)²/DE²

=√81/√144 = 3/DE


=9/12 = 3/DE

=9DE = 12×3

=9DE = 36

DE = 4 Cm.


Therefore, Corresponding base of the other Triangle is 4 cm.