Question

1)List the sides of triangle ΔMNP in ascending order (shortest to longest) if: m∠M = 15°, m∠N = 75°
2) If two sides of a triangle are 6 and 16, what is the range of the possible lengths of the third side?
3) List the sides of ΔRST in in ascending order (shortest to longest) if:
m∠R = 3x+42°, m∠S = 4x−11°, and m∠T = x+13°
4)Two sides of an isosceles triangle have lengths 7 and 14. Find the length of the third side.

Answer 1

1) PN, MP, MN (15, 75, 90, then angle side inequality)
2)10<x<22
3) SR, TR, ST(x=17, R=93, S=57, T=30, angle side inequality)
4)14,14,7 (cant be 7,7,14 because 7+7=14 so it wont for a triangle)