Problem
The median of a right triangle drawn to the hypotenuse is 3 cm long and makes an angle of 60° with it. Find the area of the triangle.

Problem
By the conditions of a will, the sum of P2.5M is left to a girl to be held in a trust fund by her guardian until it amounts to P4.5M. When will the girl receive the money if the fund is invested at 8% compounded quarterly?

Problem
For triangle BOA, B is on the y-axis, O is the origin, and A is on the x-axis. Point C(5, 2) is on the line AB. Find the length of AB if the area of the triangle is 36 unit².

Definition
Straight line is the locus or path of a point that moves without changing its direction.
 

General Equation
The general equation of the straight line is given by

Problem
Determine the volume of a regular tetrahedron of edge 2 ft.

Problem
A semi-elliptical arch in a stone bridge has a span of 6 meters and a central height of 2 meters. Find the height of the arch at a distance of 1.5 m from the center of the arch.
 

Curvature (symbol, $\kappa$) is the mathematical expression of how much a curve actually curved. It is the measure of the average change in direction of the curve per unit of arc. Imagine a particle to move along the circle from point 1 to point 2, the higher the number of $\kappa$, the more quickly the particle changes in direction. This quick change in direction is apparent in smaller circles.
 

Problem 921
Calculate the sketch the kern of a W360 × 122 section.