Question
Question 3(Multiple Choice Worth 2 points) (Pythagorean Theorem LC) Determine which set of side measurements could be used to form a triangle. 4,6,12 5,19,24 6,10,17 8,9,15
Solution
4.2
(335 Votos)
Guilhermo
Mestre · Tutor por 5 anos
Resposta
To determine which set of side measurements could be used to form a triangle, we need to check if the sum of the lengths of any two sides is greater than the length of the third side. This is known as the triangle inequality theorem.Let's check each set of side measurements:1.
: -
, which is less than
. Therefore, this set of side measurements cannot form a triangle.2.
: -
, which is equal to the third side. Therefore, this set of side measurements cannot form a triangle.3.
: -
, which is less than
. Therefore, this set of side measurements cannot form a triangle.4.
: -
, which is greater than
. Therefore, this set of side measurements can form a triangle.So, the correct answer is:
.