What is the hypotnuse of a triangle if the legs are 9 radical 5?
Hypotenuse= sqrt (2*leg^2)
so square the leg, double it, and take the square root of that.
Is it 26?
To find the hypotenuse of a triangle when given the lengths of its legs, you can use the Pythagorean theorem.
The Pythagorean theorem states that in a right-angled triangle, the square of the hypotenuse is equal to the sum of the squares of the two legs.
So, if the lengths of the legs are 9√5, we can represent it as:
Leg1: 9√5
Leg2: 9√5
To find the hypotenuse, we need to square each leg, add them together, and then take the square root of that sum.
Leg1^2 = (9√5)^2 = (9^2)(√5)^2 = 81 * 5 = 405
Leg2^2 = (9√5)^2 = (9^2)(√5)^2 = 81 * 5 = 405
Now, add the squares of the legs together:
405 + 405 = 810
Finally, take the square root of 810 to find the length of the hypotenuse:
√810 ≈ 28.46
Therefore, the hypotenuse of the triangle is approximately 28.46 units.