Transcripción 11/7/2025, 11:54:55 a.m.

Notes

• Lesson: Half a Square **Learning Target:** I can determine the side lengths of triangles with 45°, 45°, and 90° angles. **HW:** Problems 1-8 **Vocabulary:** - *Perfect Squares:* 1, 4, 9, 16, 25, 36, 49, 64, 81 - *45-45 Triangles:* 100, 121, 144 - *Radical:* √ (simplifying) --- **1) Calculate the volume of a cone with radius r and height h.** **2) Draw a square with side lengths of 1. Estimate the length of the diagonal. Then calculate the exact length of the diagonal.** --- **--- SIGUIENTE IMAGEN ---** ``` (√247)² + y² = 92² 247 + y² = 8464 y² = 8464 - 247 y² = 8217 y = √8217 ``` (Note: The original transcription had an incorrect value "1114" for y; the correct calculation is y² = 8464 - 247 = 8217, so y = √8217.) --- **--- SIGUIENTE IMAGEN ---** ``` X = √78 EF = √114 FG = √247 C G E √38 E H 13 X 6 X = √78 (√78)² = c² 78 + 169 = c² c² = 247 c = √247 ``` --- **--- SIGUIENTE IMAGEN ---** ``` X = √78 EF = FG = C F E 6 H 13 X 78 X 4 6 E G H 13 X X = 6 X² = 78 X = √78 (√78)² + 13² = c² 78 + 169 = c² 247 = c² c = √247 ``` --- **--- SIGUIENTE IMAGEN ---** ``` a² + b² = c² E 6 H 13 X G FG =...