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18 votes
Find the missing side of this right

triangle.
13
18
X =
✓[?]
Enter the number that belongs in the green box.
Enter
X

Find the missing side of this right triangle. 13 18 X = ✓[?] Enter the number that-example-1

1 Answer

3 votes

Answer:

√155

Explanation:

The pythagoream theorem states:

a² + b² = c²

('a' being one side/leg of the triangle)

('b' being other side/leg of triangle)

('c' being the hypotenuse of the triangle)

[hypotenuse = side of the triangle across from 90° angle]

[the longest side of the triangle, not connected to a 90° angle]

so, we should consider what our triangle's measurements are. We know that the hypotenuse (c) is 18, and that one side (a) is 13.

If we plug this into the phythagorean theorem:

a² + b² = c²

13² + b² = 18² [replace a and c]

169 + b² = 324 [find actual values of a and c]

- 169 - 169 [subtract to isolate b]

b² = 155

√b² = √155

b = √155

So, the triangle leg "b" (in this case, the side labeled "x") = √155

User Guoliang
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