find the length of the hypotenuse of a right triangle, the other tow sides of which measure 9 cm and 12 cm.
anglec=45¡ã
Use the Pythagorean theorem, which states a^2 + b^2 = c^2, where c is the hypotenuse. sqrt(9^2 + 12^2) =sqrt(81+144) = sqrt(225) = 15
Then it is 15cm.
Btw, what do you mean with anglec=45?
The sum of the inner angles in a triangle is 180, and if it is right, then 1 angle is 90. Therefore the sum of the remaining angles has to be 90, and if one is 45, also the other one has to be 45, but if that the case, the triangle is isosceles.
To find the length of the hypotenuse 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 (c) is equal to the sum of the squares of the lengths of the other two sides (a and b).
In this case, the given measurements tell us that one side of the right triangle measures 9 cm (a) and the other side measures 12 cm (b). To find the length of the hypotenuse (c), we can plug these values into the Pythagorean theorem formula:
c^2 = a^2 + b^2
Let's substitute the values we have:
c^2 = 9^2 + 12^2
c^2 = 81 + 144
c^2 = 225
Now, we can solve for c by taking the square root of both sides of the equation:
c = √225
Taking the square root of 225 gives us:
c = 15
Therefore, the length of the hypotenuse of the right triangle is 15 cm.