One leg of an isosceles right triangle is 14cm long. Find the length of the hypotenuse.
C^2=a^2+b^2
C^2=14^2+14^2
392=14^2+14^2?
What do I write? Because 14 square root 2 doesn't make sense.
Take the square root of 392.
https://www.google.com/#q=square+root+392
To find the length of the hypotenuse of an isosceles right triangle, you can use the Pythagorean theorem. In this case, the theorem states that the square of the hypotenuse (C) is equal to the sum of the squares of the other two sides (a and b).
Given that one leg of the triangle is 14 cm, we can write the equation as:
C^2 = 14^2 + 14^2
To evaluate this equation, you need to simplify and perform the necessary calculations:
C^2 = 196 + 196
C^2 = 392
Therefore, the square of the hypotenuse is 392. To find the length of the hypotenuse, you need to take the square root of both sides of the equation:
C = √392
By using a calculator or simplifying the radicand (number inside the square root), you will find that √392 is equal to approximately 19.80 cm.
Hence, the length of the hypotenuse of the isosceles right triangle is approximately 19.80 cm.