Find the lengths of the arms of a right triangle whose
hypotenuse has length c if these arms have a ratio of (a) 3;4 and
c=15, (b) 5;12 and c=26, (c) 8;15 and c =170 and (d) 1;2 and
c=10
The base of a right pyramid is an equilateral triangle of perimeter 8 cm and the height of the pyramid is 30√3 cm . Find the area and volume of the pyramid.
Among all triangles with a perimeter of 2s=9 units, find the
dimension of the triangle with the maximum area. (Hint: Heron's
Formula for the area of a triangle may be useful -
A=Sqrt(s(s-a)(s-b)(s-c).
a) The triangle △ ABC is right-angled with right angle at corner
C and angle α at corner A. Calculate a = | BC |, given that c = |
AB | = 8, and that tan α = 12.
Calculate a= ?
b) In the triangle △ ABC before the designations a = | BC |, b =
| CA |, c = | AB |, and ∠A = α, ∠B = β and ∠C = γ.
Find c,...
A right triangle whose hypotenuse is √18 m long is revolved
about one of its legs to generate a right circular cone. Find the
radius, height, and volume of the cone of greatest volume that can
be made this way.