4cm
Step-by-step explanation:
» Concepts
The area of a triangle is how much space is in the triangle. The formula for the area of a triangle is [tex]\frac{1}{2} bh[/tex], where b = base and h = height.
» Application
We're given the area as 10 cm² and the base as 5 cm. Thus, we have to plug these values into the formula to solve for the height.
» Solution
- [tex]10=\frac{1}{2} *5*h[/tex]
- [tex]10=\frac{5}{2}h[/tex]
- [tex]10*2/5=5/2(h)*2/5[/tex]
- [tex]h=4[/tex]