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Help me calculate this using pythagorean theorem

Help me calculate this using pythagorean theorem-example-1
User Yeoman
by
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1 Answer

5 votes

Answer:

x = 225

Explanation:

Pythagorean Theorem: a^2 + b^2 = c^2, where a and b are the side lengths and c is the hypotenuse.

Substituting in the values:

(x - 3)^2 + 9^2 = x^2

Then, we isolate x:

(x - 3)^2 + 81 = (x - 3)(x - 3) + 81 = x^2 - 6x + 9 + 81 = x^2 - 6x + 90 = x^2

(Subtract x^2 from both sides)

- 6x + 90 = 0

(Add 6x to both sides, I also flipped the equation to put x on the left side)

6x = 90

(Divide both sides by 6)

x = 15

To double-check, substitute x with 15:

(15 - 3)^2 + 9^2 = 15^2

Simplify:

144 + 81 = 225 (true)

User Kiliantics
by
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