Chapter 9.7, Problem 1PSA

a

To determine

To find: The missing sides of the triangle if the hypotenuse of $30°-60°-90°$ is given.

Answer to Problem 1PSA

The two unknown sides are 7 and $7\sqrt{3}$

Explanation of Solution

Given information:

  $30°-60°-90°$triangle and its hypotenuse.

Since sides in such triangles are in ratio $1:\sqrt{3}:2$

Thus, unknown sides are 7 and $7\sqrt{3}$

b

To determine

To find: The missing sides of the triangle if the smallest leg of $30°-60°-90°$ triangle is given.

Answer to Problem 1PSA

The two unknown sides are 5 and $10\sqrt{3}$

Explanation of Solution

Given information:

  $30°-60°-90°$triangle and its smallest leg

Since sides in such triangles are in ratio $1:\sqrt{3}:2$

Thus, unknown sides are 5 and $10\sqrt{3}$

c

To determine

To find: The missing sides of the triangle if the longest leg of $30°-60°-90°$ triangle is given.

Answer to Problem 1PSA

The two unknown sides are 5 and 10

Explanation of Solution

Given information:

  $30°-60°-90°$triangle and its longest leg

Since sides in such triangles are in ratio $1:\sqrt{3}:2$

Thus, unknown sides are 5 and 10

d

To determine

To find: The missing sides of the triangle if the smallest leg = 173 of $30°-60°-90°$ triangle is given.

Answer to Problem 1PSA

The two unknown sides are 346 and $173\sqrt{3}$

Explanation of Solution

Given information:

  $30°-60°-90°$triangle and its longest leg

Since sides in such triangles are in ratio $1:\sqrt{3}:2$

Thus, unknown sides are 346 and $173\sqrt{3}$

e

To determine

To find: The missing sides of the triangle if hypotenuse leg of $30°-60°-90°$ triangle is given.

Answer to Problem 1PSA

The two unknown sides are 114 and $114\sqrt{3}$

Explanation of Solution

Given information:

  $30°-60°-90°$triangle and its hypo

Since sides in such triangles are in ratio $1:\sqrt{3}:2$

Thus, unknown sides are 114 and $114\sqrt{3}$