1. 2.6 PYTHAGOREAN THEOREM
Objective To apply the Pythagorean Theorem.
Pythagorean Theorem: In any right triangle, the sumo f the squares of the lengths of the legs is
equal to the square of the length of the hypotenuse.
c2 = a 2 + b 2
EXERCISES.
Write an equation that can be solve to find a, b, or c. The solve the equation
12
4.5
5 3
5 6
10
15
23
12
26
Find the indicated length to the nearest tenth.
1. a = 12, b = 14 c = ___________
2. a = 18, c = 32, b = ___________
3. a = 13.6, b = 11.8, c = ___________
4. a = 37, b = 14, c = ____________
5. c = 23.5, b = 11.3, a = ___________
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2. Solve the following problems. Draw the figure.
1. The length of two adjacent sides of a rectangle are 8 and 6. Find the length of a
diagonal of the rectangle.
2. The length of each side of a rhombus is 8 ft. The length of one of its diagonals is 4
ft. Find the length of the other diagonal.
3. The lengths of the legs of an isosceles triangle are each 6 in. The length of the base is
8 in. Find the length of an altitude from the vertex angle to the base.
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