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Lesson 1.6: The Pythagorean Theorem



 1. 

Given the following triangle, select the equation that describes the Pythagorean Theorem.
                    mc001-1.jpg

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.

               mc002-1.jpg
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.

                            mc003-1.jpg
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.

                              mc004-1.jpg
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.

                    mc005-1.jpg
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.

                     mc006-1.jpg
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?
mc007-1.jpg

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?
mc008-1.jpg
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?
                           mc009-1.jpg
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?
mc010-1.jpg
a.
330.2 m
b.
252.8 m
c.
262.5 m
d.
342.6 m
 



 
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