You can use the fact that area of a triangle can be calculated by taking half of the product of its height and base.
The area of the specified tile is 24 square inches.
How to calculate area of the tile?
The given tile is triangle. Thus, we need to find the area of that triangle.
Its sides are given.
It is sort of visible that the side 8 inches is perpendicular (standing straight) to side 6 inches. If its true, then we can use 8 inches as height of the triangle (as height is straight distance from baseline to top vertex of triangle) and 6 inches as base.
To prove if a triangle is right angled triangle (triangle with one of the angle as 90 degrees which shows that those two lines who make 90 degrees are perpendicular to each other), we can use Pythagoras theorem.
Since Pythagoras theorem says that slant side's length's square is equal to sum of square of lengths of other two sides of a right angled triangle, thus,
[tex]10^2 = 8^2 + 6^2\\100 = 64 + 36\\100 = 100[/tex]
Thus, this triangle is satisfying Pythagoras theorem, thus being a right angled triangle.
Thus, this triangle's height can be 8 and base 6 or in reverse, height 6 and base 8.(in inches)
Thus, area of triangle = half times base times height = [tex]\dfrac{1}{2}\times 6 \times 8 = 3 \times 8 = 24 \: \rm inch^2[/tex]
Thus,
The area of the specified tile is 24 square inches.
Learn more about right angled triangle here:
https://brainly.com/question/4456796
