Respuesta :

Answer:

That is incorrect. The correct answer is 22.9 cm

Step-by-step explanation:

As this is a right triangle with two side lengths given, we can use the Pythagorean theorem to find the final side. Recall that the Pythagorean theorem states: [tex]a^2+b^2=c^2[/tex]

In the case of this problem: a is x, b is 10, and c is 25. Knowing this, we can plug these values into the formula and solve for x

[tex]x^2+10^2=25^2\\\\x^2+100=625\\\\x^2=525\\\\x=\sqrt{525} \\\\x=22.912\\\\x=22.9[/tex]

Answer: b ≈22.9

This problem is to be solved using the Pythagorean theorem. The equation for that is:

a ²+b ²=c ²

A and b are the legs (the shortest sides)
C is the hypotenuse (longest side)

Let’s write in what we know of the equation. C, the hypotenuse, is 25. That means that 10 and b are the legs. Let’s fill this into the equation and solve.

a ²+b ²=c ²

*fill in information*

10 ²+b ²=25 ²

*square numbers*

100+b ²=625

*subtract 100 on both sides*

b ²=525

*find square root*

b ≈22.9

This is your answer! Hope this helps comment below for more questions :)