The height of the triangle by applying formulas for the area of a triangle and your knowledge about triangles is 12 cm.
What is Area of Triangle?
The area of a triangle is defined as the total space occupied by the three sides of a triangle in a 2-dimensional plane. The basic formula for the area of a triangle is equal to half the product of its base and height, i.e., A = 1/2 × b × h.
What is Heron's formula?
Heron's formula, formula credited to Heron of Alexandria (c. 62 ce) for finding the area of a triangle in terms of the lengths of its sides. In symbols, if a, b, and c are the lengths of the sides:
Area = √s(s - a)(s - b)(s - c) where s is half the perimeter, or (a + b + c)/2.
Given:
Three sides are: 15cm, 25 cm and 2 cm
Now, Using Heron's formula
semi-perimeter= (25+ 20 + 15)/2
s= 30 cm
Now,
Area of triangle
=√s(s-a)(s-b)(s-c)
=√30* 5 * 10* 15
=√5*2*3*5*2*5*3*5
=5*5*2*3
=150 cm²
Again, area of triangle= 1/2* b* h
150= 1/2* 25* x
12cm= x
Learn more about Area of Triangle here:
https://brainly.com/question/9817285
#SPJ2
