Posted by Edward on Friday, February 15, 2013 at 1:56am.
if a,b,c = 10,17,21,
a^2 = b^2+c^2-2bc cos C, so
cosC = (17^2 + 21^2 - 10^2)/(2*17*21) = 15/17
so, sinC = 0.47
figure sinA and sinB the same way
If the altitudes from A,B,C are Ha,Hb,Hc, then
Hc = a*sinB = b*sinA
Figure the other altitudes in like wise.
OR--------
figure the area using Heron's formula.
Then since 1/2 c*Hc = area
Hc = 2*area/c
Since the area does not change, the shortest altitude is on the longest side.
Related Questions
geometry - Triangles Rst and wxy are similar . the side lengths of rst are 10 ...
maths - A triangle has side lengths in the ratio 3:4:5. I the perimeter of the ...
geometry - the perimeter of a triangle is 48 cm. The length of one side is 7 cm ...
geometry - A triangle has side lengths of 3in, 4in, and 6in. The longest side of...
geometry problems (algebra) - the lengths of the triangle are consecutive odd ...
math - triangle ABC has vertices A(3,4), B(4,-3) and C(-4,-1). a. draw a sketch ...
maths - THE Perimeter of a triangle is 2004. One Side of a triangle = 21 Times ...
Maths - The sides of a triangle are 4.53cm, 5.70cm and 6.21cm. By what ...
Geometry - The ratio of the side lengths of a triangle. Is 2:4:5 and the ...
geometry - the ratio of the side lengths of a triangle is 4:7:5 and its ...
For Further Reading
