Respuesta :
Answer: He can make 3 obtuse triangle out of 4 triangles.
Step-by-step explanation:
Since, By the given numbers there can be made 4 triangles having sides:
1) 3, 6, 7
2) 6, 7, 8
3) 3, 7, 8
4) 3, 6, 8
And, for an obtuse triangle the square of third side is always greater than the sum of two sides.
Therefore from the above four triangles only triangles 1), 3) and 4) follow the property of obtuse triangle. ( because, in triangle 1) [tex]3^2+6^2<7^2[/tex] , in 3) [tex]3^2+7^2<8^2[/tex] and in 4) [tex]3^2+6^2<8^2[/tex].
Thus, triangles 1), 3) and 4) are obtuse triangles.
The number of obtuse triangles from the information will be 3.
What is an obtuse triangle?
It should be noted that an obtuse triangle is a triangle with one obtuse angle that is greater than 90° and two acute angles.
In this case, Jamel is asked to create triangles using three or four given sticks. In an obtuse triangle, the square of the third side is always greater than the sum of the two sides.
Therefore, the correct option will be 3.
Learn more about triangles on:
https://brainly.com/question/23945265
