- #1

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Hey!

We have a rectangle inside a semicircle with radius $1$ :

View attachment 9703

From the midpoint of the one side we draw a line to the opposite vertices and one line to the opposite edge.

View attachment 9704

Are the acute angles of the right triangles all equal to $45^{\circ}$ ? (Wondering)

All four triangles are similar, aren't they? We have that the hypotenuse of each right triangle is equal to $1$, since it is equal to the radius of the circle.

I am stuck right now about the angles. (Wondering)

We have a rectangle inside a semicircle with radius $1$ :

View attachment 9703

From the midpoint of the one side we draw a line to the opposite vertices and one line to the opposite edge.

View attachment 9704

Are the acute angles of the right triangles all equal to $45^{\circ}$ ? (Wondering)

All four triangles are similar, aren't they? We have that the hypotenuse of each right triangle is equal to $1$, since it is equal to the radius of the circle.

I am stuck right now about the angles. (Wondering)