if the difference of the semi perimeter and the sides of triangle are 60m, 13m and 10m and the area of the triangle is 1344 m^2
Find the height of the triangle corresponding to the smallest sides of triangle
Very very urgent
Heron's formula says that the area
A = √(s(s-a)(s-b)(s-c))
So it appears that the smallest side is 10, so
10h/2 = 1344
So what's the use of this line
difference of the semi perimeter and the sides of triangle are 60m, 13m and 10m
To find the height of the triangle corresponding to the smallest side, we need to use the formula for the area of a triangle:
Area = (base * height) / 2
Given that the area of the triangle is 1344 m^2, we can substitute it in:
1344 = (base * height) / 2
We also know that the difference of the semi-perimeter and the sides of the triangle are 60m, 13m, and 10m. Let's assume the sides of the triangle are a, b, and c. The semi-perimeter would be (a + b + c) / 2.
Now, we need to find the base and the corresponding height. Since we know the difference between the semi-perimeter and the sides, we can set up the following equations:
(a + b + c) / 2 - a = 60
(a + b + c) / 2 - b = 13
(a + b + c) / 2 - c = 10
Simplifying these equations, we get:
b + c - a = 120
a + c - b = 26
a + b - c = 20
Now we have a system of equations that we can solve using various methods such as substitution or elimination.
Once we find the values of a, b, and c, we can substitute them back into the area formula:
1344 = (base * height) / 2
Solving for the height will give us the answer. Unfortunately, we don't have enough information to solve the system of equations without additional constraints or values.