Answer:
x = [tex]\sqrt{65}[/tex]
Step-by-step explanation:
The altitude of the triangle must equal 4 because it is a right triangle with another leg of 3 and a hypotenuse of 5 (reason is due to the pythagorean theorem)
Therefore, the triangle on the right has legs of 4 and 7 and, again, use the phythagorean theorem to find 'x' (the hypotenuse)
[tex]4^{2}[/tex] + [tex]7^{2}[/tex] = [tex]x^{2}[/tex]
16 + 49 = [tex]x^{2}[/tex]
65 = [tex]x^{2}[/tex]
x = sq rt 65
