## 01 Area of a right triangle of known median bisecting the hypotenuse

**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.

A. 7.97 cm^{2} |
C. 8.79 cm^{2} |

B. 8.97 cm^{2} |
D. 7.79 cm^{2} |

## How long will P2.5M amounts to P4.5M at 8% compounded quarterly?

**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?

A. 7 years | C. 7.42 years |

B. 6.8 years | D. 7.25 years |

## Length of hypotenuse of a right triangle of known area in the xy-plane

**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 unit^{2}.

A. 24.31 units | C. 13.42 units |

B. 18.30 units | D. 10.80 units |

## The Straight Line

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## Volume of regular tetrahedron of given length of edges

**Problem**

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

A. 1.54 ft^{3} |
C. 1.34 ft^{3} |

B. 1.01 ft^{3} |
D. 0.943 ft^{3} |

## Problem 02 - Semi-Elliptical Arch in a Stone Bridge

**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.

A. 1.41 m | C. 1.56 m |

B. 1.63 m | D. 1.73 m |

## Curvature and Radius of Curvature

**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.

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## Problem 921 | Kern Area of a Wide Flange Section: W360 x 122

**Problem 921**

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

## What is the Coefficient of the 8th Term of the Expansion of (2x - 1/x)^10?

**Problem**

In the expansion of (2*x* - 1/*x*)^{10}, find the coefficient of the 8^{th} term.

A. 980 | C. 960 |

B. 970 | D. 990 |