Chapter 9.7, Problem 4PSA

a

To determine

To find: The variable “ x ” in $45°-45°-90°$ triangle whose perpendicular is 8.

Answer to Problem 4PSA

The variable ( x ) is $8\sqrt{2}$

Explanation of Solution

Given information In $45°-45°-90°$ triangle, one side is 8

In $45°-45°-90°$ triangle, two sides are equal

Hence, variable ( x ) will be $8\sqrt{2}$

b

To determine

To find: The variable “ y ” in $45°-45°-90°$ triangle which has hypotenuse= 8.

Answer to Problem 4PSA

The variable ( y ) is $2$

Explanation of Solution

Given information In $45°-45°-90°$ triangle, one hypo is 8

In $45°-45°-90°$ triangle, two sides are equal

Hence, variable ( y ) will be $2$

c

To determine

To find: The variable “ z ” in $45°-45°-90°$ triangle which has perpendicular is 17.

Answer to Problem 4PSA

The variable ( z ) is $17\sqrt{2}$

Explanation of Solution

Given information In $45°-45°-90°$ triangle, one side is 17

In $45°-45°-90°$ triangle, two sides are equal

Hence, variable ( z ) will be $17\sqrt{2}$

d

To determine

To find: The variable “ w ” in $45°-45°-90°$ triangle which has base = 8.

Answer to Problem 4PSA

The variable ( w ) is $19\sqrt{2}$

Explanation of Solution

Given information In $45°-45°-90°$ triangle, one side is 17

In $45°-45°-90°$ triangle, two sides are equal

Hence, variable ( w ) will be $19\sqrt{2}$