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students sometimes mix these up - so here they are together: if $(a + b…

Question

students sometimes mix these up - so here they are together:
if $(a + b) > c$ then you have a triangle (again, c is the longest side)
and if $a^2 + b^2 = c^2$ then we know its a right triangle.
i think i understand
is the triangle shown at left a right triangle?
yes no
explain your thinking.

Explanation:

Answer:

Yes
Because \(3^{2}+4^{2}=9 + 16=25=5^{2}\), so by the Pythagorean theorem, it is a right - triangle.