Chapter 8.1, Problem 10PSA

a

To determine

To calculate:The ratio of line AB and BC.

Answer to Problem 10PSA

The ratio is 1: 1

Explanation of Solution

Given information:The following diagram is given

  

Formula used AAA similarity criterion

Calculation:$\Delta ABE\&\Delta ACD$ are similar through AAA similarity.

Therefore,

AB = BC

Therefore, the ratio of AB and BC will be

  $\therefore$ Ratio of AB and AC is $1\text{ : }1$

b

To determine

To calculate:The ratio of line AB and AC.

Answer to Problem 10PSA

The ratio is 1: 2

Explanation of Solution

Given information:

  

Formula used Midpoint of line segment divides it in two equal parts

Calculation Let us assume that

AB = x units, then

AC = AB + BC = 2x units

Hence ratio of AB and AC will be

  $x:2x=1:2$