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

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 cm2 C.   8.79 cm2
B.   8.97 cm2 D.   7.79 cm2


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

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.

A.   24.31 units C.   13.42 units
B.   18.30 units D.   10.80 units


04 Largest Right Triangle of Given Hypotenuse

Find the area of the largest right triangle whose hypotenuse is fixed at c.

03-largest-right-triangle-given-hypotenuse.gif           03-largest-right-triangle-given-hypotenuse-theta.gif


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.

Triangular block subjected to two forces


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