a2 +b2=c2
Which variables represent legs and which is the hypotenuse?
If you are looking at the triangle, how do you know which side is the hypotenuse?
If one angle is 90 degrees, making it a right triangle, what is true about the other 2 angles?
5 Problems - SHOW ALL WORK!
Solve for x.
Solve for x.
Solve for x.
Leah walks to soccer practice on Saturday. She leaves her home and walks 6 blocks north. Leah then turns east and walks 4 more blocks to the soccer field. How far is the soccer field from Leah’s home? Round your answer to the nearest tenth.
The measure of side c is 105 inches and the measure of side a is 80 inches. What is the length of side b?
- In the Pythagorean Theorem equation a2 + b2 = c2, the variables a and b represent the legs of the right triangle, while the variable c represents the hypotenuse.
- In a right triangle, you can identify the hypotenuse as the side opposite the right angle (90 degrees).
- If one angle of a triangle is 90 degrees, then the other two angles must add up to 90 degrees as well.
Problem 1:
a2 + b2 = c2
x2 + 4^2 = 7^2
x2 + 16 = 49
x2 = 33
x = √33
Problem 2:
a2 + b2 = c2
5^2 + x^2 = 13^2
25 + x^2 = 169
x^2 = 144
x = √144
Problem 3:
Leah walks 6 blocks north and 4 blocks east. This forms a right triangle. We can use the Pythagorean Theorem to find the distance from her home to the soccer field:
x2 + 4^2 = 6^2
x2 + 16 = 36
x2 = 20
x = √20 ≈ 4.5 blocks
Problem 4:
a2 + b2 = c2
80^2 + b^2 = 105^2
6400 + b^2 = 11025
b^2 = 4625
b = √4625
Therefore, the length of side b is 67.96 inches.