what is the angle measure for x?
65 degrees
Steps: 68+47=115
180-115=65
What is the square root of 144?
12
What is the value of 54
625
What is the formula for the Phythagerom theorem?
a2 + b2 = c2
What is the value of 34?
81

What is the measure of the angle x?
18 degrees
Steps: 90-72=18
What is the square root of 223?
*round to the nearest tenth*
15
What is the value of 082
0

Find angle x using the Pythagorean theorem
x = 10
Steps: a2 + b2 = c2
6(2) + 8(2) = c2
36 + 64 = c2
100 = c2
10 = x

What is the angle measure for angle c?
Angle c: 50 degrees
Steps: 90 + 40 = 130 -> 180 - 130 = 50
What is the angle measurement for angle b?
72 degrees
Steps: 24 + 39 + 45 = 108
180 - 108 = 72
What is the square root of 6678?
*round to the nearest tenth*
81.7
What is the value of 199
1

Find angle x using the Pythagorean theorem
x = 8
Steps: a2 + b2 = c2
a2 + 62 = 102
a2 + 36 = 100
a2 + 36 - 36 = 100 - 36
a2 = 64
x = 8
What is the square root of 4468?
*round to the nearest tenth*
66.8

What is the angle measure for the missing angle in this triangle and the exterior angle? (angle c)
Missing Angle in the Triangle: 70 degrees
85 + 25 = 110 180 - 110 = 70
Exterior Angle: 110 degrees
85 + 25 = 110 or 180 - 70 = 110
What is the square root of 890 multiplied by 4?
*round to the nearest tenth for the square root*
119.6
What is the value of 184
10,4976
Word problem:
Lena’s guest house is 15 m long and 12 m wide. How long is the diagonal of the house?
Answer: 19.2 m
a2+ b2= c2
152+ 122 = c2
225 + 144 = c2
369 = c2
19.2 = c
Maria walked 3 km west and 4 km south. Calculate how far she is from her starting point.
Answer: 5km far from her starting point
Steps:
a2+b2= c2
42+ 32 = c2
16 + 9 = c2
25 = c2
5 = c

What is the angle measure for angle z?
Angle z: 20 degrees
Steps: 180 - 144 = 36 -> 180 - 56 = 124
36 + 124 = 160 -> 180 - 160 = 20
What is the square root of 5501 divided by 7?
*round to the nearest tenth for the square root*
10.1
what is the value of 1213
1,771,561
Word problem
David must install fencing around a lot that is shaped like a right triangle. The side of the lot that runs east-west is 200 ft long. The side of the lot that runs north-south is 125 ft long. Calculate how many feet of fencing he will need to surround the entire lot.
Answer: 235.8 ft
Steps:
a2 + b2 = c2
1252 + 2002 = c2
15,625 + 40,000 = c2
55,625 = c2
235. 8 = c