Jamel is asked to create triangles using three of four given sticks. the sticks measure 3 in., 6 in., 7 in., and 8 in. he creates these 4 triangles.
triangle 1: 3 in., 6 in., 7 in.
triangle 2: 3 in., 6 in., 8 in.
triangle 3: 3 in., 7 in., 8 in.
triangle 4: 6 in., 7 in., 8 in.
how many of his triangles are obtuse?
(a.)1 (b.)2 (c.)3 (d.) 4

Let

a------->
the longest side of the triangle

b and c----------> the other two sides of the triangle

we know that

if

then

the triangle is obtuse

case 1) Triangle 1: 3 in., 6 in., 7 in.

in this problem

the triangle is obtuse

case 2) Triangle 2: 3 in., 6 in., 8 in.

in this problem

the triangle is obtuse

case 3) Triangle 3: 3 in., 7 in., 8 in

in this problem

the triangle is obtuse

case 4) Triangle 4: 6 in., 7 in., 8 in.

in this problem

the triangle is not obtuse

therefore

the answer is the option

a

step-by-step explanation: