Answer:
17
Step-by-step explanation:
In this problem, you can use the Pythagorean Theorem to find the hypotenuse, which is x. The formula for the Pythagorean Theorem is: [tex]a^{2} +b^{2}=c^{2}[/tex], where a and b are the two lengths of the triangle, and c is the hypotenuse (which is x).
Steps:
-We know the two sides already, which are 15 and 8, so we can substitute a and b into the equation: [tex]15^{2} +8^{2}=c^{2}[/tex] (the c is the same as x, just letting you know)
-Then, simplify the equation to get: [tex]225+64=x^{2}[/tex] (I replaced c with x just so you can understand better that we are trying to find x, the hypotenuse)
-Add the 225 and 64 to get: [tex]289=x^{2}[/tex]
-Find the square root of both sides to get x by itself: [tex]\sqrt{289}=\sqrt{x^{2}[/tex]
-Evaluate the equation to get: [tex]\sqrt{289} =x[/tex] which simplifies to [tex]17=x[/tex]
Answer: 17
Hope you understand and that this helps with your question! :)
