How to Find the Missing Angle of the Triangle Inside the Square ?

Hello everyone. In this lesson, we calculated the missing length of a triangle inside a square. While performing our calculations, we utilized similar triangles and cyclic quadrilaterals. Please watch the video until the end to learn the steps of the process. Enjoy the video!
How to Find the Missing Angle of the Triangle Inside the Square:
• How to Find the Missin...
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Finding the missing length in the Square:
• Finding the missing le...
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Calculating the Missing Angle in the Square using 2 Different Approaches:
• Calculating the Missin...
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Finding the missing angle in the Square | 3 Methods:
• Finding the missing an...
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Square Geometry Problems Playlist :
• Square Geometry Problems
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[@KorlinAng-bs7rh]

Nice😊

[@elmeddinmetleb7560]

Perfect!

[@geomathryy]

thanks🙋‍♂️

[@yassinehinnach]

A different solution:
The equation of (EF) is y = x/3 +1. if we name the coordinates of H xH, yH then
xH² + yH² = 9 and yH = xH/3 + 1 so we end up with: xH² + (xH/3 + 1)² = 9 => 5xH² + 3xH - 36 = 0, Δ = 27², xH = 12/5 (the other solution is negative) and yH = 9/5
HF² = (6 - 12/5)² + (3 - 9/5)² => HF = 6√10/5
HC² = (9/5)² + (6 - 12/5)² => AC = 9√5/5
cosine rule: HF² + HC² - 2HF.HC.cosα = 9
We get cosα = √2/2, α = 45