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Find the unknown side length x. ​

Find The Unknown Side Length X class=

Sagot :

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