SOLUTION: How do you find the area of a triangle with the sides 33,30 and 23. (I can NOT use Herons formula or the law of sine or cosines to find it btw. Its an extra credit problem and I ne
Algebra.Com
Question 570626: How do you find the area of a triangle with the sides 33,30 and 23. (I can NOT use Herons formula or the law of sine or cosines to find it btw. Its an extra credit problem and I need help : /
Answer by scott8148(6628) (Show Source): You can put this solution on YOUR website!
use the longest side as the base
the altitude (h) divides the triangle into two right triangles; a, h, 30 and b, h ,23
a + b = 33
a^2 + h^2 = 30^2
b^2 + h^2 = 23^3
three equations, three unknowns
subtracting 2nd and 3rd equations ___ a^2 - b^2 = 30^2 - 23^2 ___ (a + b)(a - b) = 371
dividing by 1st equation ___ a - b = 371 / 33
adding 1st equation ___ a - b + a + b = 33 + (371 / 33) ___ 2a = 1460 / 33
solve for a, then substitute back to find h
RELATED QUESTIONS
I need to Find the area and the perimeter of a triangle using Herons thereom- the sides... (answered by Fombitz)
what is the formula or how do you find the area of a triangle when (3) sides are... (answered by Mathematicians,nerdybill)
In a triangle with sides 29cm 21cm and 13cm, how can you find the height? Using sine rule (answered by ewatrrr)
Greetings, I am in Trig but i am struggling with old knowledge, Heres the Problem: (answered by mananth)
how do you find the area of a rectangular prism? do i multiply the sides or... (answered by richard1234)
how do I find the area of an iscoseles triangle when I've only been given the... (answered by Theo)
how do i find x degrees of a right triangle using sine or... (answered by Alan3354)
How do you find the surface area and volume of a cylinder or rectangular prism with a... (answered by josgarithmetic)
Find all possible triangles with side b= 25,side c = 30, and angle B= 25 using the Law of (answered by ortarico)
how can I determine whether a set of measurements can be the sides of a triangle, if they (answered by stanbon)