Question

do these measurements form a right triangle? the figure may not be drawn to scale.
draw
39
89
80
show your work here
hint to add the square root symbol(√) type
oot\
yes no
check

Explanation:

Step1: Recall Pythagorean theorem

For a right triangle, \(a^2 + b^2 = c^2\), where \(c\) is the hypotenuse (longest side), and \(a, b\) are the legs. Here, \(a = 39\), \(b = 80\), \(c = 89\).

Step2: Calculate \(a^2 + b^2\)

\(39^2 + 80^2 = 1521 + 6400 = 7921\)

Step3: Calculate \(c^2\)

\(89^2 = 7921\)

Step4: Compare results

Since \(39^2 + 80^2 = 89^2\), the triangle satisfies the Pythagorean theorem.

Answer:

Yes