Area of scalene triangle :
Here we are going to see the formulas and example problems to find the area of the scalene triangle.
Area of scalene triangle = √s(s-a)(s-b)(s-c)
Here a, b and c are the sides of the triangle and "s" is known as (perimeter of the triangle)/2. To find the value of "s" we have to use the formula
S = (a + b + c)/2
Now let us see some example problems.
Example 1 :
Find the area of the scalene triangle whose length of sides are 12cm, 18 cm and 20 cm.
Here we can consider the length of each side as a= 12 cm, b = 18 cm and c = 20 cm respectively.
First, let us find the value of s. For that let us use the above formula
S = (a + b + c)/2
S = (12 + 18 + 20)/2
S = 50/2
S = 25
Area of scalene-triangle = √s(s-a)(s-b)(s-c)
= √25(25-12) (25-18) (25-20)
= √25(13) (7) (5)
= √5 x 5 x 13 x 7 x 5
= 5 √13 x 7 x 5
= 5√455 cm²
The sides of a triangle are 12m, 16 m and 20 m. Find the altitude to the longest side.
In order to find the altitude on the longest side of a triangle first we have to find the area of the triangle.
Let a = 12 m, b = 16 m and c = 20 m
S = (a + b + c) /2
= (12 + 16 + 20)/2
= 24 m
Area of scalene triangle = √s(s-a) (s-b) (s-c)
= √24 (24-12) (24-16) (24-20)
= √24 (12) (8) (4)
= √2 x 12 x 12 x 4 x 2 x 4
= 12 x 2 x 4
= 96 cm²
Area of the triangle = 96 cm²
(1/2) x b x h = 96 cm²
Here the longest side is 20 cm. If we plug it instead of b we will get
(1/2) x 20 x h = 96
h = (96 x 2) /20
h = 9.6 cm
After having gone through the stuff given above, we hope that the students would have understood "Area of scalene triangle"
Apart from the stuff given above, if you want to know more about "Area of scalene triangle", please click here.
Apart from the stuff given in this section, if you need any other stuff in math, please use our google custom search here.
You can also visit our following web pages on different stuff in math.
APTITUDE TESTS ONLINE
ACT MATH ONLINE TEST
TRANSFORMATIONS OF FUNCTIONS
ORDER OF OPERATIONS
Converting customary units worksheet
Customary units worksheet
Integers and absolute value worksheets
Nature of the roots of a quadratic equation worksheets
Trigonometry heights and distances
MATH FOR KIDS
Word problems on linear equations
Trigonometry word problems
Word problems on mixed fractrions
Converting repeating decimals in to fractions