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 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

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.

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

 

04 Largest Right Triangle of Given Hypotenuse

Problem
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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