perimeter and area of triangle
Answers
Step-by-step explanation:
lengths of sides of a triangle are a, b and c, the perimeter,
p=a+b+c.
Here are the various methods to calculate the areas of triangles:
a. Right angled triangle. The legs forming the right angle are A and B. Area = A*/2.
b. Right angled triangle. One angle is θ and the side opposite to it is m. Area = [(m^2)*cot θ]/2.
c. Right angled triangle. One angle is θ and the side adjacent to it is n. Area = [(n^2)*tan θ]/2.
d. Right angled triangle. One angle is θ and the hypotenuse is p. Area = [(p^2)*sin 2θ]/4.
e. Isosceles triangle. The sides are a, a and b. Area = (b/4)[4a^2-b^2]^0.5
f. Isosceles triangle. The sides are L and L, and included angle is θ. Area = [L^2 sin θ]/2.
g. Isosceles triangle. The sides are m and m, and base angle is θ. Area = [m^2 *sin 2θ]/2.
h. Isosceles triangle. The base is B, and base angle is θ. Area = [B^2*tan θ]/4.
i. Scalene triangle. The sides are a, b and c. Here 2s = (a+b+c). Area = [s(s-a)(s-b)(s-c)}^0.5. Heron’s formula.
j. Scalene triangle. The sides are a and b and the included angle is θ, Area = (ab/2)*sin θ,
k. Scalene triangle. The medians are u, v and w. Here, 2s= (u+v+w). Area=(4/3)[s(s-u)(s-v)(s-w)]^0.5.