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A student draws a triangle to scale using side lengths 8, 16, and 18. Can the student conclude that this is a right triangle?

Sagot :

Answer: This triangle is not a right triangle

Explanation:

To find this you can use the set up for the pythagorean theorem. The hypotenuse is the c while the other sides are a and b.

[tex]{a}^{2} + {b}^{2} = {c}^{2} [/tex]

After setting it up you add in the numbers

[tex] {8}^{2} + {16}^{2} = {18}^{2} [/tex]

Then square them

[tex]64 + 256 = 324[/tex]

Then you add the two sides together

[tex]320 = 324[/tex]

If they are equal then it is a right triangle. While if they are not equal it is either obtuse or acute.

Sorry if this is long or doesn't make sense.