Answer: 36
Step-by-step explanation:
(Triangle ABC is isosceles)
(base angles of an isosceles triangle are congruent)
(In triangle CMB, angles in a triangle add to 180 degrees)
(triangle sum theorem)
(30-60-90 triangle CMB)
(sides opposite congruent angles in a triangle are congruent)
(segment addition postulate)
In quadratic equations,
a + b = -B
ab = C
where a and b are the roots, B is the second term, and C is the constant.
Substituting,
a + b = -12
ab = 35
The values of a and b from the equation is -7 and -5. Thus, the lesser root is -7.
