Chapter 11.7, Problem 14CE

(a)

To determine

To Find: The ratio of area of triangles $IandII$ .

Answer to Problem 14CE

  $8:5$

Explanation of Solution

Given:

  

Height of triangles $IandII$ is same.

Thus

We know that if the two triangles have same height then the ratio of the area is equal to the ratio of their bases.

i.e.

  $\begin{array}{l}IandII\\ \frac{ar\left(I\right)}{ar\left(II\right)}=\frac{8}{5}\end{array}$

Hence, $8:5$

(b)

To determine

To Find: The ratio of area of triangles $IandIII$ .

Answer to Problem 14CE

  $8:15$

Explanation of Solution

Given:

  

Height of triangles $IandIII$ is same.

Thus

We know that if the two triangles have same height then the ratio of the area is equal to the ratio of their bases.

i.e.

  $\begin{array}{l}IandIII\\ \frac{ar\left(I\right)}{ar\left(II\right)}=\frac{8}{15}\end{array}$

Hence, $8:15$