Name:    Lesson 1.6: The Pythagorean Theorem

1.

Given the following triangle, select the equation that describes the Pythagorean Theorem.

 a. z2 + y2 = x2 b. x2 + z2 = y2 c. x2 + y2 = z2 d. 2x + 2y = 4z

2.

Calculate the length of the unknown side of the triangle to the nearest tenth.

 a. 5.7 cm b. 4.0 cm c. 6.3 cm d. 2.8 cm

3.

Calculate the length of the unknown side of the triangle to the nearest tenth.

 a. 7.0 m b. 5.0 m c. 12.0 m d. 14.0 m

4.

Calculate the length of the unknown side of the triangle to the nearest tenth.

 a. 15.8 km b. 12.7 km c. 20.0 km d. 14.1 km

5.

Calculate the length of the unknown side of the triangle to the nearest tenth.

 a. 12.0 m b. 15.0 m c. 8.0 m d. 3.0 m

6.

Calculate the length of the unknown side of the triangle to the nearest tenth.

 a. 30.0 cm b. 33.3 cm c. 11.9 cm d. 23.5 cm

7.

Craig wanted to row his boat across the river from the Campsite to Cabin A, 5 km away. When he started to row the current took his boat across to Cabin B, 3 km away from Cabin A. How far, to the nearest tenth of a kilometre, did Craig travel?

 a. 4.8 km b. 5.8 km c. 4.0 km d. 5.2 km

8.

Ashley needed to putt the golf ball 13 m into the hole for a birdie. Instead the ball went 12 m to the left of the hole. How far is the golf ball from the hole?

 a. 8 m b. 15 m c. 5 m d. 7 m

9.

A ladder is placed 375 cm up a wall. The base of the ladder is 300 cm from the wall. How long is the ladder to the nearest centimetre?

 a. 480 cm b. 450 cm c. 675 cm d. 580 cm

10.

Brenda knows that when she swims across a river the current will push her downstream. After swimming across the river, Brenda notices that the current pushed her 80 m downstream.The distance straight across the river is 250 m. How far did Brenda actually swim, to the nearest tenth of a metre?
 a. 330.2 m b. 252.8 m c. 262.5 m d. 342.6 m