One side of a figure is 8 one side is 4 one side is 10 What is the area?
To find the area of the figure with sides 8, 4, and 10, we first need to determine if the three sides form a right-angled triangle.
To do this, we can use the Pythagorean theorem, which states that in a right-angled triangle, the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.
In this case, we have the sides 8, 4, and 10. We can see that 8² + 4² = 64 + 16 = 80, and 10² = 100. Since 80 is not equal to 100, the triangle is not a right-angled triangle.
Instead, we can use Heron's formula to find the area of the triangle. Heron's formula states that the area of a triangle with sides of lengths a, b, and c is given by:
Area = √[s(s - a)(s - b)(s - c)],
where s = (a + b + c)/2 is the semiperimeter of the triangle.
In this case, the semiperimeter s is (8 + 4 + 10)/2 = 11, so the area of the triangle is:
Area = √[11(11 - 8)(11 - 4)(11 - 10)]
Area = √(11 * 3 * 7 * 1)
Area = √(231)
Area ≈ 15.2
Assuming the figure is a triangle, the area is approximately 15.2 square units.