Warm Up 02.13.12 Week 7. Section 9.1 Day 1 I will solve problems involving similar right triangles. Right Triangle – Altitude to Hypotenuse If the altitude.

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Presentation transcript:

Warm Up Week 7

Section 9.1 Day 1 I will solve problems involving similar right triangles. Right Triangle – Altitude to Hypotenuse If the altitude is drawn to the hypotenuse of a right triangle, then the two triangles formed are similar to the original triangle and to each other. Theorem 9.1 ∼ ∼

Ex 1 b) Find h. a) Identify the similar triangles. b) = 6.3 h = 5.5(3.1) h ≈ 2.7 a) ΔXYW ∼ ΔYZW ∼ ΔXZY

Right Triangle – Altitude Geometric Mean The length of the altitude is the geometric mean of the lengths of the two segments. Theorem 9.2 Right Triangle – Legs Geometric Mean The length of each leg is the geometric mean of the lengths of the hypotenuse and the segment of the hypotenuse that is adjacent to the leg. Theorem 9.3

Ex 2 Geometric Mean The means are the same.

Ex 3Apply T9.2

Ex 4Apply T9.3

Textbook page 531, all Assignment: Find the value of x. Do 1: