Question

Calculate the specified lengths given that the two triangles are similar.
a=4, c=6, d=2, find f

Answer 1

Answer:

f is 6

Step-by-step explanation:

Triangle are similar so there side are equal by congruent properties.

Answer 2

Answer: 3

Step-by-step explanation:

Given :

△ABC and △DEF are similar and

a=4, c=6, d=2.

To Find :

Length of f.

Solution :

Since it is given that △ABC is similar to △DEF,

We know that Two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion.

∴ $\frac{a}{c}$ = $\frac{d}{f}$  

=>  $\frac{4}{6}$ = $\frac{2}{f}$

=>  $\frac{2}{3}$ = $\frac{2}{f}$

=> 2f = 6

=> f = 3

Hence the required value of 'f' is 3.