To determine the area of square C, we need to find the length of the third side of the triangle.
Let's suppose the sides of the triangle are a, b, and c.
Square A has an area of 14, so its side length is √14.
Square B has an area of 60, so its side length is √60.
By the Pythagorean theorem, a^2 + b^2 = c^2, where c is the hypotenuse (the longest side) of the right triangle.
Substituting the side lengths of squares A and B, we have (√14)^2 + (√60)^2 = c^2.
This simplifies to 14 + 60 = c^2.
Therefore, c^2 = 74.
Now, we need to find the area of square C, which is the square of the side length of c.
So, the area of square C is c^2 = 74 units².
A triangle is drawn and squares are created from the lengths of each side.
Square A has an area of 14 units² and Square B has an area of 60 units².
What must be the area of the 3rd square for triangle to have a right angle? Click Here for Help Video.
(10 points)
The area for square C is
units².
1 answer