Find the hypotenuse of a right-angled triangle if its legs are √7 cm and 3 cm.

From the condition, we know that the legs of a right-angled triangle are equal to √7 cm and 3 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.

(√7) ^ 2 + 3 ^ 2 = x ^ 2;

7 + 9 = x ^ 2;

x ^ 2 = 16;

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

x1 = 4; x2 = -4.

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

Answer: 4.