Question

The point A,B,C and D divide the line segment AD in the ratio 2.5:1.3:0.83, respectively and AB =30cm

Answer 1

Answer:

Step-by-step explanation:

Answer 2

Concept

A line segment is a section of a line that connects two points that represent the endpoints of the line.

Given

We assume that point $A,B,C$ and $D$ divide the line segment $AD$ in the ratio $2.5:1.3:0.83$ and $AB=30$cm.

Find

We have to find the length of $BD$.

Solution

We are given that $AB:BC:CD=2.5:1.3:0.83$.

Now, we will each ratio with $x$ to find the length of each segment.

So, $AB=2.5x$,$BC=1.3x,$ and $CD=0.83x$.

Further, compare the $AB=30cm$ with $AB=2.5x$ to find the value of $x$, we get

$30=2.5x$

$\Rightarrow \frac{30}{2.5}=x$

$\Rightarrow 12=x$

Now, we will find the value of $BC$ and $CD$ by substituting the value of $x$.

$BC=1.3\times 12$

$\Rightarrow BC=15.6$

And

$CD=0.83\times 12$

$\Rightarrow CD=9.96$

Furthermore, we will find the value of $BD$ by adding $BC$ and $CD$, we get

$BD=15.56+9.96$

$\Rightarrow BD=25.52$

Hence, the length of $BD$ is $26$ (approx).

#SPJ2