Question

Which measurement is a possible side length for a triangle with two sides measuring 9 cm and 4 cm?

Answer 1

So let's draw a triangle with sides 9 and 4.

9^2 + 4^2 = c^2

81+16 =c^2

so the square root of 97 is a possible length.

Answer 2

thank you <3

Answer 3

So \[\sqrt{97}\] = c, the final, unkown length of this triangle.

We did this using the Pythagorean theorem.
\[a ^{2} + b^{2} = c^{2}\]

Answer 4

Remember to include units. The cm in your final answer.

Answer 5

Thank you, it all makes sense to me now ^^

Answer 6

Note it did not state that it was a right triangle, it could be an obtuse triangle or an acute triangle, so the 3rd side could have a range of almost 13 down top almost 5 when the included angle ranges to almost 180 to 0 degrees