The Angle in a Semicircle Theorem states that the angle subtended by a diameter of a circle at the circumference is a right angle. An alternative statement of the theorem is the angle inscribed in a semicircle is a right angle. Proof Draw a radius of the circle from C. This makes two isosceles triangles.
To solve the two problems below you need to know 1) The area of a circle is ?r2, with r as radius and that the area of a semicircle is of course half of the circle, ½?r2 and 2) the angle in a semicircle theorem. Problem 1 Prove that the area of the solid green semicircle
Somebody left this in my message box: Problem If a triangle is an equilateral triangle with 3m and you are not given the perpendicular length of a triangle, how do you calculate the area of a triangle? Obviously the sender know that the perpendicular length aka height or altitude of the triangle is needed to