Chapter 11.3, Problem 24WE

a.

To determine

To determine the ratios of the areas of the given triangle.

Answer to Problem 24WE

The area are equal so raito is 1:1.

Explanation of Solution

Given information :

  

To find the ration of area of triangle ABD and triangle ABC.

Let h be the height.

  

We know that the area of tringle is half the product of base and height.

Hence ratio of the area of the triangle ABD and ABC is,

  $\frac{12h}{2}:\frac{12h}{2}=1:1$

Hence the area are equal so raito is 1:1.

b.

To determine

To determine the ratios of the areas of the given triangle.

Answer to Problem 24WE

The area are equal so raito is 1:1.

Explanation of Solution

Given information :

  

To find the ration of area of triangle AOD and triangle BOC.

Here we can observe that the triange AOD is congurent to triangle BOC.

Hence both the triangle are same hence the area shall also be same.

Hence the ratio of area is 1:1.

c.

To determine

To determine the ratios of the areas of the given triangle.

Answer to Problem 24WE

Ratio is 3:1.

Explanation of Solution

Given information :

  

To find the ration of area of triangle ABD and triangle ADC.

Let h be the height.

  

We know that the area of tringle is half the product of base and height.

Hence ratio of the area of the triangle ABD and ADC is,

  $\frac{12h}{2}:\frac{4h}{2}=3:1$

Hence the area are equal so raito is 3:1.