Respuesta :

Noah11012
Because this is a right angle triangle, we can use the Pythagorean theorem to find the missing leg.

The Pythagorean theorem is this: [tex] a^{2} + b^{2} = c^{2} [/tex]

The Pythagorean theorem tells us if you square both the legs then add them up together, you will get the length of the hypotenuse squared.

We know one leg is 24 and the hypotenuse is 26. Plug them into the equation.

24^2 + b^2 = 26^2

Solve for b.

24^2 + b^2 = 26^2
576 + b^2 = 26^2
576 + b^2 = 676
b^2 = 100

Take the square root of both sides.

b = 10

So, the other leg of the triangle is 10 units long.
Using the Theorem of Pythagoras (a² + b² = c²)

Put in the values:

24² + x² = 26²
Solve for x
576 + x² = 676
Subtract 576 from both sides
x² = 100
Find the square root of 100
x = 10

The answer is 10 :)

Hopefully this helps! If you have any more questions or don't understand, feel free to DM me, and I'll get back to you ASAP! :)