Right or Wrong?
Find that Side!
Real-World Triangles
Challenge Questions
Final Round!
100
Do the sides 3, 4, and 5 form a right triangle?
Yes, 32 + 42 =52
100
a=3, b=4. Find side c.
c=5
100
Find the distance between Sarah and James’ houses. Hint: label sides a, b and c.
About 3.2 miles.
100
A rectangular field is 50m by 120m. Find the diagonal distance.
130 meters.
200
Do the sides 3, 4, and 5 form a right triangle?
Yes, 52 + 122= 132
200
a=5, b=12. Find side c.
c=13
200
A 13m ladder leans against a 12m wall. Find the distance between the ladder and the ground. 
5 meters.
200
If the area of a right triangle is 24 cm2 and one leg is 6cm, find the hypotenuse.
Hint: Find the height of the triangle first.
a=6, b=8, c=10
300
Do the sides 6, 8, and 10 form a right triangle?
Yes, it's a scaled 3-4-5 triangle by doubling the sides.
300
c=10, a=6. Find side b.
b=8
300
Saquan walks home from school everyday. He walks 6 blocks north and then 8 blocks west. What is the distance between school and his house?
10 blocks.
300
A kite string 30m long reaches the top of a 18m pole. How far is the person holding it from the base?
24 meters.
400
Do the sides 7, 9, and 12 form a right triangle?
No, 72 + 92 is not equal to 122
400
b=9, c=15. Find side a.
a=12
400
You walk 9 blocks north and 12 blocks east. How far apart are you from your start?
Hint: Draw a labeled diagram
15 blocks.
400
A 13-foot ladder leans against a house. If the bottom is 5 feet from the wall, how high up does it reach?
12 feet.
500
Do the sides 8, 15, and 17 form a right triangle?
Yes, 82 + 152 = 172
500
a= 7, c=25. Find side b.
b=25
500
A TV has a 40-in diagonal and a 32-in width. What’s the height?
Hint: Draw a diagram.
24 inches.
500
A triangle has sides 9, 10, and 11. Is it a right triangle?
No. 92 + 102 =181, but 112 =121, so 92 +102 > 112
500
A 15-ft ladder leans against a building so the top touches 12ft up the wall. How far is the bottom of the ladder from the wall?
9ft.