Chapter 11.7, Problem 17WE

(a)

To determine

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

Answer to Problem 17WE

  $\frac{9}{7}$

Explanation of Solution

Given:

  

In triangles $IandII$

Height of both triangles are same.

Therefore

If two triangles have equal heights, then the ratio of their areas equal to the ratio of their bases.

Thus

  $\frac{b_1}{b_2}=\frac{9}{7}$

Hence, $\frac{9}{7}$

(b)

To determine

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

Answer to Problem 17WE

  $\frac{5}{4}$

Explanation of Solution

Given:

  

In triangles $IandIII$

Height of both triangles are same.

Therefore

If two triangles have equal heights, then the ratio of their areas equal to the ratio of their bases.

Thus

  $\frac{b_1}{b_2}=\frac{10}{8}=\frac{5}{4}$

Hence,

  $\frac{5}{4}$ .