3/11-3/12 7.2 The Pythagorean Theorem. Learning Target I can use the Pythagorean Theorem to find missing sides of right triangles.

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The Pythagorean Theorem is probably the most famous mathematical relationship. As you learned in Lesson 1-6, it states that in a right triangle, the sum.

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Presentation transcript:

3/11-3/ The Pythagorean Theorem

Learning Target I can use the Pythagorean Theorem to find missing sides of right triangles

Simplify Radicals Practice

Pythagorean Theorem – In a right triangle, a² + b² = c² Where a and b are the legs and c is the hypotenuse.

A Pythagorean triple is a set of non zero whole numbers that satisfies the equation a² + b² = c² EX: 3, 4, 5 EX 2: 7, 24, 25

Do 1-6 Do 7-9

Converse of the Pythagorean Theorem: If the square of the length of one side of a triangle is equal to the sum of the squares of the lengths of the other two sides, then the triangle is a right triangle.

Is this a right triangle?

If c² > a² + b², then the triangle is obtuse If c² < a² + b², then the triangle is acute

Do

DAY 2 Finish Lesson and do Worksheet with word problems

RECAP – Can you find missing lengths of right triangles? – Can you determine if a triangle is acute, obtuse, or right given the lengths?