Question

The two triangles shown are similar. Find the value of a/b

Answer 1

Answer:

$\frac{a}{b} = 1.5$

Step-by-step explanation:

Given that both ∆s are similar, therefore the ratio of their corresponding sides will be the same.

This means: $\frac{2.1}{a} = \frac{1.4}{b}$.

Since this equation is true, rewrite so that you have $\frac{a}{b}$

$\frac{2.1}{a} = \frac{1.4}{b}$

Cross multiply

$a*1.4 = b*2.1$

Divide both sides by 1.4

$a = \frac{b*2.1}{1.4}$

Divide both sides by b

$\frac{a}{b} = \frac{2.1}{1.4}$

$\frac{a}{b} = 1.5$

Answer 2

The value of $\dfrac{a}{b}$ is $1.5$.

Given:

Two triangles in the given figure are similar.

To find:

The value of $\dfrac{a}{b}$.

Explanation:

The corresponding sides of two similar triangles are proportional.

$\dfrac{a}{2.1}=\dfrac{b}{1.4}$

It can be rewritten as:

$\dfrac{a}{b}=\dfrac{2.1}{1.4}$

$\dfrac{a}{b}=1.5$

Therefore, the value of $\dfrac{a}{b}$ is $1.5$.

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