Answer:
Explanation:
If the hypotenuse of a right triangle is twice the length of the shorter leg and the shorter leg is 4 cm, then the hypotenuse is 2 * 4 cm = 8 cm.
Using the Pythagorean theorem, we can find the length of the longer leg. The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides. Letting c represent the length of the hypotenuse and a and b represent the lengths of the other two sides, we can write this as c^2 = a^2 + b^2.
Substituting in the known values for c and one of the other sides (let’s say a), we have:
8^2 = 4^2 + b^2 64 = 16 + b^2 b^2 = 48 b = sqrt(48)
So, the length of the longer leg is sqrt(48) cm, or approximately 6.93 cm.