Find the measure of each side to solve for the perimeter of the triangle.

Given:

**a = 120 ft** ** b** = ? ** c** = ?

**A = 22° ** ** B = 98° ** C= 180-(22 + 98) ⇒ 180 - 120 = **60°**

Use Law of Sines to find the measurement of two other sides:

**1) Solve for b:**

a b

---------- = -------------

Sin A Sine B

120 ft b

-------------- = ----------------

Sin(22°) Sin (98°)

120 ft (Sin 98°) 120 ft (0.990) 118.8 ft

**b** = -------------------- = --------------------- = ------------ = **317 ft**

Sin 22° 0.375 0.375

2) Solve for c:

a c

-------------- = ----------------

Sin A Sin C

120 ft c

------------- = -------------

Sin 22° Sin 60°

120 ft (Sin 60°) 120 ft (0.866) 103.92 ft

**c **= -------------------- = ------------------ = -------------- = **277 ft**

0.375 0.375 0.375

The sides of the triangles are:

a = 120 ft. b = 317 ft c = 277 ft.

Perimeter of the triangular garden = a + b + c

120 ft. + 317 ft + 277 ft = **714 ft.**

**ANSWER: 714 ft. of fence materials would be needed to enclose the garden.**