Question

Tell weather the measurements can be the side lengths of a triangle. If so, classify the triangle as acute, obtuse, or right. 15,18,20. 7,8,11

Answer 1

Hi there!

Let's use the pythagorean theorem for both sets of values.

WORK:
${15}^{2} + {18}^{2} = {20}^{2}$
$225 + 324 = 400$
$549 > 400$
The first set of values is an ACUTE triangle.

${7}^{2} + {8}^{2} = {11}^{2}$
$49 + 64 = 121$
$113 < 121$
The second set of values is an OBTUSE triangle.

Hope this helps!! :)