Name: ________________________
Block: ______
Date: __________
SHOW ALL WORK & round to the neatest tenth unless otherwise stated.
1.) Determine if the given lengths will
create a right, acute, or obtuse triangle.
If they don’t create a triangle write not
a triangle.
(a) 5, 12, 15
2.) Given two side lengths, 7 and 12, which of
the following could be the third side length to
create a right triangle? *Circle ALL that apply*
(b) 10, 24, 26
5
9.7
12.6
(c) 12, 49, 61
(d)
6
4.) Complete the triangle.
W
13
M
5
C
O
x
9
A
19
13, 10, 12
3.) Find the value of x and y.
B
13.9
10.5
D
y
WO = ______
m Ð W= _____
x = ______ y = _______
m Ð O= _____
5.) Find the length of the indicated side.
A 16
B 64
8
x
C 8 2
D 8 3
6.) In the triangle, find the length of the side.
A 32
B 8
C 8 2
D 8 3
16
x
45°
60°
7.) Find the measure of the A.
8.) Find the value of b.
A
16
15
8
C
B
mA = ______
b
55
b = ______
8.) In the triangle, find the measure of y.
(y+5)
9.) Find the value of k and m.
m
k
(y+10)
9
3
12
y = ______
k = ______
m = ______
10.) Determine the area of a right triangle,
(A = ½ bh), given a leg is 9 ft and the
hypotenuse is 22 ft.
11.) Find the perimeter and area of the given
triangle.
16
22
A = _______
P = _______
A = _______
12.) The pilot of a small boat measures and determines that the angle of elevation of the top
of a lighthouse is 12. The pilot knows that the lighthouse reaches 50m above sea level. Find
the distance between the boat and the lighthouse to the nearest meter.
13.) A pilot flying over level ground at an altitude of 1400m spots a green buoy and a red
buoy in the ocean. The angle of depression to the green buoy is 30 and the angle of
depression to the red buoy is 52. Find the distance between the two buoys.