Find the legth of the third side of the right triangle if a= 23 cm and b= 13 cm. I thought it was 144cm but i am not sure.
just use this formula A squared times B squares
so you will take 23x23=529
then 13x13=169
then u take both answers and add them and it is 698 and after that u get the square root of 698 and it is 26.41
Thank you Bryan
18.97
To find the length of the third side of a right triangle, you can use the Pythagorean theorem. The theorem states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.
Let's label the sides of the triangle as follows:
- a = 23 cm (one of the legs)
- b = 13 cm (the other leg)
- c = ? (the hypotenuse, the side we want to find)
The Pythagorean theorem is stated as:
c^2 = a^2 + b^2
Now, let's substitute the given values:
c^2 = 23^2 + 13^2
c^2 = 529 + 169
c^2 = 698
To find c, we need to take the square root of both sides:
c = √698
Using a calculator, we find that the square root of 698 is approximately 26.41 cm. Therefore, the length of the third side (c) is approximately 26.41 cm.
So, your initial suggestion of 144 cm was incorrect. The correct length for the third side of the right triangle is approximately 26.41 cm.