Unit 1 Practice

Front

Will the sides 29, 21, and 20 form a right triangle?

Back

Yes, they form a right triangle because they satisfy the Pythagorean theorem: 29^2 = 21^2 + 20^2.

Front

A right triangle has a hypotenuse of 25 and a leg of 15. What is the length of the other leg?

Back

20. Use the Pythagorean theorem: a^2 + b^2 = c^2, where c is the hypotenuse.

Front

Will the sides 36, 85 and 77 make a right triangle?

Back

Yes, they form a right triangle because they satisfy the Pythagorean theorem: 85^2 = 77^2 + 36^2.

Front

A tourist views a deer from a height of 45 feet. The horizontal distance between the tourist and the deer is 130 feet. How many degrees should the tourist tilt his camera down to photograph the deer?

Back

71 degrees. Use the tangent function: tan(θ) = opposite/adjacent.

Front

If the hypotenuse of a right triangle is 50 and the leg is 14, what is the length of the other leg?

Back

48. Use the Pythagorean theorem: a^2 + 14^2 = 50^2.

Front

What is the Pythagorean theorem?

Back

In a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides.

Front

Define a right triangle.

Back

A triangle with one angle measuring 90 degrees.

Front

What is the formula to find the length of a leg in a right triangle?

Back

a = √(c^2 - b^2), where c is the hypotenuse and b is the length of the other leg.

Front

What is the tangent of an angle in a right triangle?

Back

The ratio of the length of the opposite side to the length of the adjacent side.

Front

How do you determine if three sides can form a triangle?

Back

The sum of the lengths of any two sides must be greater than the length of the third side.