# hypotenuse

## 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} |

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## 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 |

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## 04 Largest Right Triangle of Given Hypotenuse

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## 010 Components of force normal and tangent to hypotenuse of a triangle

**Problem 010**

The triangular block shown in Fig. P-010 is subjected to the loads P = 1600 lb and F = 600 lb. If AB = 8 in. and BC = 6 in., resolve each load into components normal and tangential to AC.

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