Right-angled triangle leg 1.5 m. hypotenuse 2 m., how to calculate the second leg?

From the condition it is known that a right-angled triangle is given, the length of the leg is 1.5 meters and the length of the hypotenuse is 2 meters.

In order to find the length of the second leg, we apply the Pythagorean theorem.

Let’s recall the Pythagorean theorem:

c ^ 2 = a ^ 2 + b ^ 2;

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

Let us express the legs from the formula:

a ^ 2 = c ^ 2 – b ^ 2;

Take the square root of both sides:

a = √ (c ^ 2 – b ^ 2).

It remains to substitute the values into the expression and find:

a = √ (2 ^ 2 – 1.5 ^ 2) = √ (4 – 2.25) = √1.75 meters length of the second leg.