The two right triangles have equal radii as hypotenuses and a common perpendicular side. Therefore, they are congruent by the RHS Congruence Criterion. Hence, the chord is divided into two equal parts.
Discussion Forum Latest Questions
The two triangles have equal radii as corresponding sides and equal chord lengths as their bases. Therefore, all three corresponding sides are equal, so the triangles are congruent by the SSS Congruence Criterion.
The two sides joining the centre to the endpoints of the chord are radii of the same circle. Since all radii are equal, the triangle formed is an isosceles triangle.
This matches the three-term identity where the term containing variable b must be negative because both cross-product terms that include b have a minus sign in the expression.
We express 27 as 30 – 3 and utilize the subtraction square identity. Squaring the terms and subtracting their double cross-product leaves the final calculation of 729.