How do you find the height of a scalene triangle when the base and the two side lengths are different?
The measurements are base - 12 cm
one side - 8 cm
the other side - 7 cm
I need the height to find out the area
if you want the height, drop the altitude to the base. It divides the base into two parts, x and 12-x.
Now, using the Pythagorean Theorem, you can find the height h using
x^2 + h^2 = 8^2
(12-x)^2 + h^2 = 7^2
subtract and you get rid of h, leaving
x^2 - (12-x)^2 = 64-49
24x - 144 = 15
24x = 159
x = 53/8
now use that to find h, and you get
3/8 √143
You can check that against Heron's formula (26.9061).
(1/2)(3/8 √143)*12 = 26.9061
Although the easy formula for the area is
A = (1/2)b h
that does not help much if you do not know the altitude h
Use Heron's formula
http://www.mathopenref.com/heronsformula.html
To find the height of a scalene triangle when the base and the two side lengths are different, you can use the formula for the area of a triangle. The formula is:
Area = (base * height) / 2
Given that the base is 12 cm and the two side lengths are 8 cm and 7 cm, we can find the height using the formula:
Area = (12 cm * height) / 2
Now, let's rearrange the formula to solve for the height:
height = (2 * Area) / base
To proceed further, we need to know the value of the area of the triangle. Could you please provide the area value?
To find the height of a scalene triangle when the base and two side lengths are different, you can use the formula for the area of a triangle, which is given by:
Area = (base * height) / 2
In this case, you need to find the height, so you can rearrange the formula to solve for height:
height = (2 * Area) / base
Given that the base is 12 cm, you need to know the value of the area in order to calculate the height. Do you have the value of the area of the triangle?