It depends on what you know about the triangle.
The usual formula taught in Geometry class is
.. A = (1/2)*b*h
where b is the length of the base, and h is the height (altitude)
If you know two sides (a and b) and the angle between them,
.. A = (1/2)*a*b*sin(θ)
If you know three sides (a, b, c) then Heron's formula applies:
.. s = (a+b+c)/2
.. A = √(s*(s -a)*(s -b)*(s -c))
If you know two sides and an angle not between them, then you can use the Law of Sines to find the angle between them and use the formula above. In some of these cases, the triangle may be incompletely specified, so there may be two different legitimate values for the area.
Step-by-step explanation:
1. Choose arbitrary points A and B in the plane and draw segment AB.
2. Raise a perpendicular m to AB at A.
3. Raise a perpendicular n to AB at B.
4. Choose an arbitrary point C on line n.
5. Drop a perpendicular from point C to line m. Let D be the foot of this perpendicular.
6. Then quadrilateral ABCD is a rectangle.
Answer:
Step-by-step explanation:
The length of the third side of a triangle must always be between (but not equal to) the sum and the difference of the other two sides.
19 + 34 = 53
34 - 19 = 15
from 16 cm to 52 cm
9514 1404 393
Answer:
2√13
Step-by-step explanation:
The distance between the center of the circle and a point on the circle is the radius. That distance is given by the distance formula:
d = √((x2 -x1)² +(y2 -y1)²)
d = √((-5 -1)² +(6 -2)²) = √(36 +16) = √52
d = 2√13
The radius of the circle is 2√13.
103+53=156
180-156=24
The third angle is 24
So then take 180 because a line is 180 degrees and subtract 24
156 is the final answer