find the missing length in this diagram showing a T-square. (reduce the radical to simplist form.
6 cm (one side of triangle)
3 cm ( other side of triangle)
the third side (diagonal line conecting other two sides)= x cm.
Pythagorean theorem?
6^2 + 3^2 = x^2
Solve for x.
To find the missing length (x cm) in the diagram, we can use the Pythagorean theorem. The Pythagorean theorem states that in a right triangle, the square of the length of the diagonal (hypotenuse) is equal to the sum of the squares of the other two sides.
In this case, we have a right triangle formed by the sides of length 6 cm, 3 cm, and x cm. Applying the Pythagorean theorem, we can write the equation:
6^2 + 3^2 = x^2
Simplifying this equation:
36 + 9 = x^2
45 = x^2
To reduce the radical to its simplest form, we need to find the square root of both sides:
√45 = √x^2
√45 = x
Therefore, the missing length (x) is equal to √45 cm.