Objective:To solve problems using the Converse of the Pythagorean Theorem.
To determine use the Triangle Inequality Theorem
A-3 Converse of the Pythagorean Theorem
The Converse of the Pythagorean Theorem states that a triangle is a
right triangle if the equation a2 + b2 = c2 is true for the lengths of the sides.
• Used to determine if a triangle is a RIGHT triangle.
Ex 1. Determine whether a triangle is a right triangle. Explain.
Objective:To solve problems using the Converse of the Pythagorean Theorem.
To determine use the Triangle Inequality Theorem
Objective:To solve problems using the Converse of the Pythagorean Theorem.
To determine use the Triangle Inequality Theorem
Objective:To solve problems using the Converse of the Pythagorean Theorem.
To determine use the Triangle Inequality Theorem
Triangle Inequality Theorem:
The sum of the lengths of any two sides of a triangle is greater
than the length of the third side.
• Used to determine if given side lengths will form ANY triangle.
EX 1. Is it possible to construct a triangle with the given side
lengths? EXPLAIN.
a) 8 yd , 12 yd , 5 yd
b) 25 mm , 14 mm , 8 mm