Question

4. Decide if the segment lengths form a triangle. If they do, Indicate whether the triangle is acute, right, or obtuse.

(a) 16, 30, 34 ? (b) 4, 5, 6?
(c) 7, 24, 26? (d) 14, 21 , 36?

Answer 1

To see if line segments may form a triangle basically one must check if the sum of two sides are greater than the third.
a + b > c
a + c > b
b + c > a

a. can form a triangle
b. can form a triangle
c. can form a triangle
d. cannot form a triangle as 14 + 21 = 35 which is not greater than 36

a = right triangle with the right angle between 16 and 30
b = acute triangle
c = obtuse triangle with teh obtuse angle between 7 and 24