The area of a triangle can be represented by the expression 14x^5+63x^2. If the base is 7x^2 write an expression to represent its height

Answer 1

The area of a triangle is A = 1/2 bh

Given that the area of the triangle is 14x⁵ + 63x² and the base of the triangle is 7x²:

14x⁵ + 63x² = 1/2 (7x²) h

We can pull out a 7 and an x² on the left hand side of the equation:

7x²(2x³ + 9) = 1/2 (7x²) h

Cancel out the 7x² from both sides and solve for h:

2x³ + 9 = 1/2 h

4x³ + 18 = h

Therefore the expression that represents the height of the triangle is:

h = 4x³ + 18

Hope this helps!