Deck 13: Combined Operations

Question 1

If the base of a right triangle measures 30 feet and the hypotenuse measures 45 feet, the height of the triangle is ____________________.

Answer 1

33.54'

Question 2

Define the Pythagorean theorem.

Answer 2

The sum of the squares of the sides of a right triangle is equal to the square of the hypotenuse.

Question 3

The formula for determining the hypotenuse of a right triangle is __________.

A) a² + c² = b²
B) c² = a² + b²
C) c² = b² - a²
D) b² + c² = a²

Answer 3

B

Question 4

Many things in construction are laid out with square corners and the ____________________ method is a good way to check the squareness of those corners.

Question 5

The two sides of a right triangle measure 12" and 15". The hypotenuse will measure ____________________.

Question 6

A right triangle has sides that measure 3' and 4'. The hypotenuse will measure ____________________.

Question 7

If the height of a triangle is 13' 9" and the hypotenuse is 15' 6", the base of the triangle will be ____________________.

Question 8

If an antenna has a guy wire attached 65' from the ground and the other end is attached to an anchor 18' from the tower, the guy wire is ____________________ feet long.

Question 9

If a 16' ladder is placed against a wall and the base of the ladder is 4' away from the wall, at what height will the ladder touch the wall?

Question 10

If a right triangle has one side that measures 20" and the hypotenuse measures 60", the second side will measure ____________________.