Two of the sides of a right angled triangle are 5m nd 12m.find the length of the third side(there are two possible answers)
I don't understand the working
Not really good
To find the length of the third side of a right-angled triangle, we can use the Pythagorean theorem. According to the theorem, in a right-angled triangle, the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.
In this case, we have the two sides given: 5m and 12m. Let's call the third side "x." Applying the Pythagorean theorem, we have:
x^2 = 5^2 + 12^2
Simplifying, we get:
x^2 = 25 + 144
x^2 = 169
Now, we need to determine the square root of both sides to solve for x:
x = ±√169
Taking the square root, we have:
x = ±13
Therefore, the length of the third side can be either +13m or -13m. Since length cannot be negative, the length of the third side can be either 13m or -13m.
the 5-12-13 right triangle is one of the most commonly used ones.
So, you have a 5m-12m-13m triangle.
Or, you may have one with sides
5m,√119 m,12m
but usually the hypotenuse is not called one of the "sides" in a right triangle.