Types of triangles
Simplify
Find Hypotenuse
Leg
Real world
100
Classify the following Triangles as Acute, Obtuse, or Right. Justify your answer using mathematics.
7, 24, 25
right
100
√121
11
100
Use the Pythagorean theorem a2 + b2 = c2 to find the missing hypotenuse for the triangle whose legs are 6 and 8.
10
100
Use the Pythagorean theorem a2 + b2 = c2 to find the missing SIDE for the triangle with b=3 and c=5
a=4
100
A football field is 100 yards long and has a width of 50 yards. If a kick returner received the kick off in one corner of the field and ran to the opposite corner, how long of a run would it be? (The NFL would only credit him with a 100 yard rush though).
50 √5
200
Classify the following Triangles as Acute, Obtuse, or Right. Justify your answer using mathematics.
8, 19, 26
obtuse
200
√72
6√2
200
Use the Pythagorean theorem a2 + b2 = c2 to find the missing hypotenuse for the triangle whose legs are 5 and 12.
13
200
Use the Pythagorean theorem a2 + b2 = c2 to find the missing SIDE for the triangle with b=5 and c=13
a=12
200
In a computer catalog, a computer monitor is listed as being 19 inches. This distance is the diagonal distance across the screen. If the screen measures 10 inches in height, what is the actual width of the screen to the nearest inch?
16 inches
300
Classify the following Triangles as Acute, Obtuse, or Right. Justify your answer using mathematics.
11, 15, 12
acute
300
6√2/√2
6
300
Use the Pythagorean theorem a2 + b2 = c2 to find the missing hypotenuse for the triangle whose legs are 9 and 12.
15
300
Use the Pythagorean theorem a2 + b2 = c2 to find the missing SIDE for the triangle with a=15 and c=17
b=8
300
What is the height of this isosceles triangle with base AB?
2 √10
400
Classify the following Triangles as Acute, Obtuse, or Right. Justify your answer using mathematics.
3a, 4a, 5a; where a is any whole number.
Right
400
√369
3√41
400
Use the Pythagorean theorem a2 + b2 = c2 to find the missing hypotenuse for the triangle whose legs are 8 and 15.
17
400
Use the Pythagorean theorem a2 + b2 = c2 to find the missing SIDE for the triangle with b=12 and c=20
a=16
400
Below is a square picture frame. What is the length of one side of the frame?
√32 or 4√2