Hypotenuse Hunt
In a right triangle, what is the name of the longest side, across from the right angle?
The hypotenuse
When finding a missing LEG, do you add or subtract the squares?
Subtract
A ladder leaning against a wall makes what type of triangle?
A right triangle
True or false: If a^2 + b^2 = c^2, the triangle is a right triangle.
True
Write as one power: 4^3 · 4^5.
4^8
Find the hypotenuse: legs 6 and 8.
10
Find the missing leg: hypotenuse 10, other leg 6.
8
A 13-foot ladder's bottom is 5 feet from a wall. How high up the wall does it reach?
12 feet
Is a triangle with sides 3, 4, and 6 a right triangle?
No (9 + 16 = 25, but 6^2 = 36)
Write 45,000 in scientific notation.
4.5 × 10^4
Find the hypotenuse: legs 15 and 20.
25
Find the missing leg: hypotenuse 26, other leg 24.
10
A TV screen is 24 inches wide and 18 inches tall. How long is its diagonal?
30 inches
Is a triangle with sides 8, 15, and 17 a right triangle?
Yes (64 + 225 = 289 = 17^2)
Is √50 rational or irrational? Between which two whole numbers is it?
Irrational; between 7 and 8
Find the hypotenuse: legs 24 and 45.
51
Find the missing leg: hypotenuse 41, other leg 9.
40
A 40-foot wire is attached to the top of a 24-foot pole. How far from the base of the pole is it anchored?
32 feet
Find the distance between (1, 2) and (4, 6).
5
Calculate (3 × 10^4)(5 × 10^3). Write the answer in scientific notation.
1.5 × 10^8
A right triangle has legs 7 and 24. What is its perimeter?
56
A right triangle has hypotenuse 25 and one leg 7. What is its area?
84 square units
A ladder reaches 24 feet up a wall when its base is 7 feet from the wall. The base is moved 8 feet farther from the wall. How high does the ladder reach now?
20 feet
Find the distance between (-3, 1) and (9, 6).
13
Simplify (2^3)^2 ÷ 2^4.
2^2 = 4