Answer:
= 9 : 25
Step-by-step explanation:
The triangles are similar.
The ratio of the corresponding sides is;
= 15 : 25
= 3 :5
This is equivalent to the linear scale factor
To get the ratio of their areas, we square the linear ratio;
= (3 : 5)²
= 9 : 25
Answer:
Option 1. 9: 25
Step-by-step explanation:
It is given that the triangles are similar and their bases are 15 in. and 25 in. respectively.
We know in two similar triangles corresponding sides are in the same ratio.
Since base of the triangles are in the ratio of 15: 25 or 3: 5.
and the same ratio will be in their heights also that is 3: 5
Therefore area of the triangles will be
Area of 1 / Area of 2 = 1/2 (Base of 1)(height of 1)/1/2(Base of 2)(height of 2)
= (Base of 1)/(Bas of 2)× (height of 1)(height of 2)
= [tex](\frac{3}{5})(\frac{3}{5}) = \frac{9}{25}[/tex]
Therefore Option 1, 9: 25 is the correct option.
