Answer:
m ∠B = 70°
m ∠C = 75°
c = 15
this problem is not the ambiguous case as it is comprising the basic general properties of a triangle.
Explanation:
for a triangle ABC:
given,
m ∠A = 35°
to find:
m ∠B = ?
m ∠C = ?
sum of angles of a triangle always add up to 180°.
i.e.
m ∠A + m ∠B + m ∠C = 180°
35° + m ∠B + m ∠C = 180°
m ∠B + m ∠C = 180 - 35 = 145°
thus,
one combination for measurement of angles B and C might be:
m ∠B = 70°
m ∠C = 75°
for triangle ABC:
given:
a = 11
b = 7
c = ?
sum of the lengths of any two sides of a triangle is always greater than the third side:
i.e.
a + b > c
11 + 7 > c
18 > c
thus, the measurement of side c might be:
c = 15
this problem is not the ambiguous case as it is comprising the basic general properties of a triangle.