how do you find the missing lenght of a right triangle if you have 20 on the left side and 48 on the bottom and you need to find the missings number
Pythagoras theorem tells us that for a right-triangle,
a² + b² = c²
where a and b are sides adjacent to the right-angle, and c is the hypothenuse.
It is not clear from the question whether the sides of lengths 20 and 48 are adjacent to the right-angle.
If that's the case, the hypothenuse is
√(20²+48²)
=√(1696)
=41.2 approximately.
is this a right angle triangle?
if it is you can find the hypotenuse which is the longest side of the triangle using Pythagoras theorem
a(squared)+b(squared)=c(squared)
c=hypotenuse
20(squared)+48(squared)=c(squared)
400+2304=c(squared)
2704=c(squared)
(square root)2704=c
52=c
To find the missing length of a right triangle, you can use the Pythagorean theorem. The Pythagorean 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 other two sides.
In this case, let's assume that the missing length is "x". Given that the left side is 20 and the bottom side is 48, we can set up the equation as follows:
20^2 + x^2 = 48^2
To solve this equation, we need to find the square of 20 (20^2 = 400) and the square of 48 (48^2 = 2304). With that, we can rewrite the equation as:
400 + x^2 = 2304
Next, we can isolate the variable by subtracting 400 from both sides:
x^2 = 2304 - 400
x^2 = 1904
To solve for x, we need to take the square root of both sides:
sqrt(x^2) = sqrt(1904)
x = sqrt(1904)
Using a calculator or approximating, we find that the square root of 1904 is approximately 43.65. Therefore, the missing length of the right triangle is approximately 43.65.