whats the area of a triangle if the left side is 30cm and the right side is 30cm an the bottom is 26cm
The area of a triangle is calculated using the formula: area = 1/2 * base * height.
Given that the left side is 30 cm, the right side is 30 cm, and the base (bottom) is 26 cm, we can calculate the height using Pythagorean theorem:
height^2 = left side^2 - ((right side^2 - base^2)/2)
height^2 = 30^2 - ((30^2 - 26^2)/2)
height^2 = 900 - (900 - 676)/2
height^2 = 900 - 224/2
height^2 = 900 - 112
height^2 = 788
height ≈ 28.1 cm
Now we can plug in the base and height into the formula to calculate the area:
area = 1/2 * 26 cm * 28.1 cm
area = 13 * 28.1
area ≈ 366.6 cm²
Therefore, the area of the triangle is approximately 366.6 cm².