The area of a triangle is given by: `frac(1)(2)bh`
where `b` is the distance along the base of the triangle, and `h` is the vertical height of the triangle.
You do not need to know this, but this is why it works:
Copy the triangle, and rotate and place it to form a parallelogram.
The area of a parallelogram = base x vertical height.
The area of a triangle is half of that.
What is the area of this triangle?
|Area of a triangle||`= frac(1)(2)bh`|
| ||`= frac(1)(2) xx 10 xx 8`|
|`= 40 cm^2`|
A triangle is twice as high as it is wide. If the area of the triangle is 32 cm2, what is the height of the triangle?
|Area of Triangle||= base x height|
|Let the base be `x`:||`h`||`= 2x`|
|Substitute:||32||`= x xx 2x`|
|Divide both sides by 2:||16||`= x^2`|
|Square root both sides:||4||`= x`|
Answer: 4 cm