Question

Divide the line segment KL=12cm in the ratio 5:7

Answer 1

Answer:

The two parts will be of length 5 cm and 7 cm

Step-by-step explanation:

We need to divide it in the ratio 5:7

5+7=12

So the parts length will be

12 * 5/12 = 5

and 12 * 7/12 = 7

Answer 2

Given:

• Length of the segment KL = 12cm.

• Ratio to be given = 5:7.

To Find:

• Values of the ratios.

Solution:

Here, we have line segment which is being divided into the ratio of 5:7.

Let us consider the values in the given ratios be 5x and 7x respectively.

So let's combine both the equations & solve it!

$\\ \longrightarrow\sf{5x + 7x = KL} \\ \\ \longrightarrow\sf{12x = KL } \\ \\ \longrightarrow\sf{12x= 12 \: ... \: (KL= 12)} \\ \\ \longrightarrow\sf{x = \dfrac{\cancel{12}}{\cancel{12}}} \\ \\ \longrightarrow\sf{x =1}$

Placing x = 1 in each of value of ratios:

$\\ \longrightarrow\sf{5x = 5 \times (1) = 5} \\ \\ \longrightarrow\sf{7x = 7 \times (1) = 7}$

Thus,

$\therefore$ The values of ratios are 5 & 7.