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Find the missing side of this righttriangle.138Хx = V[?]xEnter the number that belongs in the green box.Enter

Find the missing side of this righttriangle.138Хx = V[?]xEnter the number that belongs-example-1
User Timgavin
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1 Answer

7 votes
7 votes

Since we have a right triangle, we can apply Pytagorean theorem, that is,


x^2+8^2=13^2

where the 13 units side is the hypotenuse. Remember that the hypotenuse is always in front of the right angle.

From our last equation, we have


x^2+64=169

Now, by subtracting 64 to both sides, we get


x^2=105

and by taking square root to both sides, we obtain


x=\sqrt[]{105}

Therefore, 105 is the number that belongs in the green box.

User Gnou
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2.6k points