Find the hypotenuse of a right-angled triangle if its legs are √3 cm and √6 cm.

From the condition, we know that the legs of a right-angled triangle are equal to √3 cm and √6 cm.

In order to find the hypotenuse of a triangle, we will use the Pythagorean theorem.

Let’s remember her.

The square of the hypotenuse is equal to the sum of the squares of the legs.

a ^ 2 + b ^ 2 = c ^ 2.

Substitute the known values and solve the resulting equation.

(√3) ^ 2 + (√6) ^ 2 = x ^ 2;

3 + 6 = x ^ 2;

x ^ 2 = 9;

Let’s take the square root of both sides of the equation and get:

x1 = 3; x2 = -3.

The second root is not suitable, since the length of the hypotenuse cannot be negative.

Answer: 3 cm.