Chapter 9, Problem 2RP

a

To determine

To identify:The family of the special right triangle in part a.

Answer to Problem 2RP

The family is $1:\sqrt{3}:2$

Explanation of Solution

Given information:The sides of the triangle are given as

  $4$ , $4\sqrt{3}$ and $8$

We divide these numbers to the simplest ratio in order to find their base family. Hence, we get

  $1:\sqrt{3}:2$

b

To determine

To identify:The family of the special right triangle in part b

Answer to Problem 2RP

The family is $3:4:5$

Explanation of Solution

Given information:The sides of the triangle are given as

  $9$ , $12$ and $15$

We divide these numbers to the simplest ratio in order to find their base family. Hence, we get

  $3:4:5$

c

To determine

To identify:The family of the special right triangle in part c

Answer to Problem 2RP

The family is $5:12:13$

Explanation of Solution

Given information:The sides of the triangle are given as

  $10$ , $24$ and $26$

We divide these numbers to the simplest ratio in order to find their base family. Hence, we get

  $5:12:13$

d

To determine

To identify:The family of the special right triangle in part d

Answer to Problem 2RP

The family is $8:15:17$

Explanation of Solution

Given information:The sides of the triangle are given as

  $4$ , $7.5$ and $8.5$

We divide these numbers to the simplest ratio in order to find their base family. Hence, we get

  $8:15:17$

e

To determine

To identify:The family of the special right triangle in part e

Answer to Problem 2RP

The family is $1:1:\sqrt{2}$

Explanation of Solution

Given information:The triangle is given as

Right isosceles triangle

We know that there is only one family with a right isosceles triangle, and that is

  $1:1:\sqrt{2}$