1. 7.1 Apply the Pythagorean Theorem
Hubarth
Geometry

2. Pythagorean Theorem B c a A C b

3. Ex 1. Find the length of the Hypotenuse12 5 c
Solution
Hypotenuse = 13

4. Subtract 16 from each side.
Ex 2 Standardized Test Practice = +
162 = 42 + x2
Substitute.
256 = 16 + x2
Multiply.
240 = x2
Subtract 16 from each side.
240 = x
Find positive square root.
≈ x
Approximate with a calculator.

5. Subtract 25 from each side.
Ex 3 Find the Area of an Isosceles Triangle
Find the area of the isosceles triangle with side lengths 10 meters, 13 meters, and 13 meters.
c2 = a2 + b2
Pythagorean Theorem
132 = 52 + h2
Substitute.
169 = 25 + h2
Multiply.
144 = h2
Subtract 25 from each side.
12 = h
Find the positive square root.
Find the area. 1 2
(base) (height)
= (10) (12) = 60 m2 1 2
Area =

6. Ex 4 Find the unknown side length of the right triangleb 7 14

7. Find the unknown side length
Practice
Find the unknown side length 1. 2. 8 10 7 6 c a
3. Find the area of the triangle.
about ft2.