Bellwork: ACT Review: Two sides of a triangle measure 6 and 15, what are the possible values for the measure of the third side of the triangle? Geometry.

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Presentation transcript:

Bellwork: ACT Review: Two sides of a triangle measure 6 and 15, what are the possible values for the measure of the third side of the triangle? Geometry Sem II Review: What must be true regarding its angle and sides in order for two polygons to be similar?

8.2 Pythagorean Theorem Students will be able to apply the Pythagorean Theorem to find missing side lengths.

Pythagorean Theorem: What do you know about it?!? What do you wonder about it?!?

Pythagoras ( BC) Pythagoras and his followers believed that everything in life could be described through numbers.

The Pythagorean Theorem Anatomy of a right triangle:

The Pythagorean TheoremThe Pythagorean Theorem: A physical proof Given a right triangle with legs a and b and hypotenuse, c: a 2 + b 2 = c 2 If ____________, then _________.

Example 1 Find x.

Example 2 Find x.

Example 3 Find the perimeter of a rhombus with diagonals of 16 and 30.

Example 4 Find the side of a square whose diagonal is 4.

Example 5 Find the altitude of an isosceles triangle with legs 26 and base 18.

Example 6 Find the altitude of an equilateral triangle if the sides are 8 cm.

Ticket to Leave Find the perimeter of a rhombus with diagonals 6 and 8.

Homework Worksheet