## GEOMETRY QUESTIONS-9

Question 105-) If F point in triangle ABC is the center of the inner tangent circle, [ED] is parallel [BC], | EB | + | DC | = 12 cm; | AE | + | AD | What is the smallest integer value of cm?

Question 106-) ABC triangle, perpendicular to [AD] [BC], [AE] center and length 16 cm, height 12 cm; How many different integer values can the bisector length of the BAC angle take?

Question 107-) ABC triangle, if the dimension of angle A is less than 90 °, | BP | = | PC |, | AB | = 6 cm, | AC | = 8 cm; How many cm is the integer value that | AP | = x can take?

Question 108-) Since ABC triangle, the measure of angle A is greater than 90 °, the measure of angle B is greater than the measure of angle C, | BC | = 10 cm, | AC | = b, | AB | = c, b and c are integers; How many different values can c take?

Question 109-) If ABC triangle, [AN] bisector, m (ACB) = m (PBA), | AP | = 11 cm, | BN | = 7 cm; How many integer values does | AB | = x have?

Question 110-) ABC equilateral triangle, K; If a point inside the triangle is | EB | = 2 cm, | BD | = 5 cm, | AC | = 8 cm; | KE | + | KD | What is the largest integer value of cm?

Question 111-) ABCD trapezoid, parallel to [AD] [BC], if the length of the bottom base is 4 times the length of the upper base, the length of the side edges is 6 cm and 8 cm; What is the largest integer value of the circumference of the trapezoid ABCD?

Question 112-) ABC triangle, if the measure of angle A is greater than 90 °, | AD | = | AB |, | AC | = 10 cm, | BC | = 16 cm; How many integer values does | DC | = x have?

Question 113-) … ABCDEF … the diagonals of a regular polygon, if [EB] is the diagonal, m (EBA) = 120 °; How many sides does a regular polygon have?

Question 114-) How many sides does the regular polygon in the figure have?

Question 115-) If ABCDEFGH is a regular octagon, the points G, D, P and B, C, P are linear; How many degrees is the GCP angle measure?

Question 116-) … ABCDEFG … the vertices of a regular polygon, if m (DAB) = α, m (FGC) = β; What is the α / β ratio?

Question 117-) If KLMNP is regular pentagon, | LP | = 12 cm; What is the perimeter of the EFP triangle?