Welcome! [] · 30-60-90 Triangle Investigation Step 1: Find the length of the hypotenuse for each triangle below. Step 2: use the Pythagorean theorem to find the long leg of each

Welcome!Mrs. GillenMath 2

Last Night’s Homework: Unit 8.2 WorksheetTonight’s Homework: Unit 8.3 Worksheet

Quiz: Friday!

Warm Up1. Find the measures of 2. Solve for x:

the missing angles:

3. Determine if the 3 side lengths can make a triangle:

a) 2, 4.5, 7 b) 6, 3, 9

2x - 10 2x

30

8

4x

Half Sheet Discovery

Unit 8 Section 3:Special Right Triangles

Special Right Triangles𝟒𝟓𝒐 − 𝟒𝟓𝒐 − 𝟗𝟎𝒐 𝝙

𝟒𝟓𝒐

𝟒𝟓𝒐

𝒂

𝒂

a 𝟐

𝑯𝒚𝒑𝒐𝒕𝒆𝒏𝒖𝒔𝒆 = 𝟐 • 𝒍𝒆𝒈

Special Right Triangles𝟑𝟎𝒐 − 𝟔𝟎𝒐 − 𝟗𝟎𝒐 𝝙𝟒𝟓𝒐 − 𝟒𝟓𝒐 − 𝟗𝟎𝒐 𝝙

𝟒𝟓𝒐

𝟒𝟓𝒐

𝟔𝟎𝒐

𝟑𝟎𝒐

𝒂

𝒂

a 𝟐𝒃

𝒃 𝟑

𝟐 𝒃

𝑯𝒚𝒑𝒐𝒕𝒆𝒏𝒖𝒔𝒆 = 𝟐 • 𝒍𝒆𝒈𝑯𝒚𝒑𝒐𝒕𝒆𝒏𝒖𝒔𝒆 = 𝟐 • 𝑺𝒉𝒐𝒓𝒕 𝒍𝒆𝒈

𝑳𝒐𝒏𝒈𝒆𝒓 𝑳𝒆𝒈 = 𝟑 • 𝑺𝒉𝒐𝒓𝒕 𝒍𝒆𝒈

Solve for x