Geometry Student Name: Instructor Name: Course Number: 29 March

Geometry
Student Name:
Instructor Name:
Course Number:
29 March 2019

Q1:
a) Find AB to the nearest integer
Answer
cos A= Adjacent
Hypotenuse
cos 24= AB
22 =0.91354545764
AB=0.91354545764∗22=20.09800006808
≈ 20
b) Find BC to the nearest integer
Answer
sin A= Opposite
Hypotenuse
sin 24= BC
22 =0.40673664307
BC=22∗0.40673664307=8.94820614754
¿ 9
c) Area of triangle ABCD
Answer
Area=l∗w
¿ 20∗9
¿ 180 square units
Q2:
a) Find the length AD
Answer
x
6 = 6
x+ 9
( x +9 ) x=6∗6
x2+ 9 x=36
x2+ 9 x−36=0
x2+ 12 x−3 x−36=0
x ( x +12 ) −3 ( x +12 ) =0
( x +12 ) ( x−3 )=0
x=−12∨x=3
Since we can’t have a negative length thus x = 3
Length AD=x=3
b) Find the area of triangle ABC
Answer