Find gradients, equations and intersections of medians, altitudes and perpendicular bisectors for the topic on straight line in Higher Maths.

Calculate missing angles in triangles, quadrilaterals, polygons and circles involving perpendicular bisectors and tangents as part of National 5.

In the triangle above, segment BD is an angle bisector. Sides AB = 9x − 14, BC = 4x − 3, CD = 2x + 11 and AD = 5x + 2. Find the area of triangle ABD and the measure θ.