The coordinates of the corners of a triangle ABC are A ( 3 , − 1 , 0 ) , B ( − 2 , 2 , 3 ) , and C ( 0 , 0 , 4 ) . The units are inches. Calculate the area of triangle ABC. ( Hint : See Prob. 1.74.)
The coordinates of the corners of a triangle ABC are A ( 3 , − 1 , 0 ) , B ( − 2 , 2 , 3 ) , and C ( 0 , 0 , 4 ) . The units are inches. Calculate the area of triangle ABC. ( Hint : See Prob. 1.74.)
Solution Summary: The author calculates that the area of the triangle ABC is: 7.38in2.
The coordinates of the corners of a triangle ABC are
A
(
3
,
−
1
,
0
)
,
B
(
−
2
,
2
,
3
)
,
and
C
(
0
,
0
,
4
)
.
The units are inches. Calculate the area of triangle ABC. (Hint: See Prob. 1.74.)
An equilateral triangle of 35 mm side has an edge in the HP which is inclined at 40° to the VP. The plane itself is inclined at 50° to the HP. Draw the projections of this plane.
Problem 1.
Three circles are tangent externally. The distance between their centers are 60 m, 73
m, and 85 m. Find the radius of the largest circle.
Problem 2.
Six congruent circles are arranged in a way that each circle is tangent to at least two other
circles. If the radius of each circle is 2 m, find the perimeter of the polygon formed by
connecting the centers of each circle.
Problem 3
If y varies inversely as z and y = 23 when z = 45,000, find y when z = 54,000.
Problem 4
From a window of a building 5.25m above the ground, the angle of elevation of the top
of a nearby building is 35.6 degrees and the angle of depression of its base is 28.2
degrees. What is the height of the nearby building?
Problem 5
From a point A (Elev. 042.5), the angle of elevation of the top of the tower is 35
degrees, from a point B 325 m nearer
angle of elevation of the top of the tower is 55 degrees. What is the elevation of the top
of the tower?
the tower and 18.65 m below the point A, the
a = 1.2 m
b = 1.8 m
C= 4 m
Force AB = 500 Newtons
FAB
Find the Angle between Line AB and Line AC in degrees. (Hint: Dot Product).
If the calculated answer is not whole number, express it in 4 significant figures. If the value is negative, include a negative sign.
Chapter 1 Solutions
International Edition---engineering Mechanics: Statics, 4th Edition
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