Section 7.5 Applications ofthe Pythagorean TheoremSection 7.5 Applications ofthe Pythagorean Theorem
Section 7.5 Applications ofthe Pythagorean TheoremSection 7.5 Applications ofthe Pythagorean Theorem
© Copyright all rights reserved to Homework depot: www.BCMath.ca
Ex: Find the missing side “x”
12cm
5cm
m
a2 + b2 = c2
122 + 52 = m2
144 + 25 = m2
169 = m2
41cm
80cm
Find the altitude of the triangle
v
a2 + b2 = c2
v2 + 402 = 412
v2 = 412 – 402
v2 = 81
v = 9
© Copyright all rights reserved to Homework depot: www.BCMath.ca
Ex: Two buildings are 95meters apart. Building Ais 55m tall and the tower is 145m tall. A wire isconnecting both buildings. What is the shortestlength for this wire?
© Copyright all rights reserved to Homework depot: www.BCMath.ca
Create a right triangle
Find the length of each side
Use the Pythagoreantheorem to find thelength of the wire
Ex: Jack and James are racing from point A to B.Jack runs around the park and James cutsthrough the park. How much more distance didJack run?
© Copyright all rights reserved to Homework depot: www.BCMath.ca
Jack runs on the sides:
James runs along the hypotenuse
Subtract to see how much moreJack runs
Ex: Two boats are sailing away from the sameport. The 1st boat sails West at 15km/hr, the2nd boat sails North at 22km/hr. How far arethe boats from each other after 2.5hours?
Port
X 00
0 0 0
X 0 0
0 0 0
© Copyright all rights reserved to Homework depot: www.BCMath.ca
First find the distance that each will
boat travel
Boat A:
Boat B:
The distance creates a right triangle
Use the Pythagorean theorem to findthe length of the hypotenuse
Ex: Find the missing side “x”
All radii’s in a circle are equal
The chord is bisected, so both sidesmust be equal
Right Triangle Pythagorus
© Copyright all rights reserved to Homework depot: www.BCMath.ca
PRACTICE: FIND THE MISSING SIDE “X”
All radii’s in a circle are equal
Add another radii tocreate a right Triangle
© Copyright all rights reserved to Homework depot: www.BCMath.ca
Homework:
•P 111 # 2 to 10, 13 and 14
© Copyright all rights reserved to Homework depot: www.BCMath.ca