# Geometry Test-7

Question 79-) In the triangle ABC in the figure, [AB] is divided into 4 equal parts, [BC] into 3 equal parts. Accordingly, what is the Area (DKL) / Area (ABC) ratio?

Question 80-) ABC is a triangle, point F [AE] and cut point of [DC], | DB | = 4 cm, | BE | = 6 cm, | EC | = 8 cm, Area (DBEF) = Area (AFC ) if; | AD | = how many cm is x?

Question 81-) If ABC and FBD are a triangle, Area (AFE) = Area (ECD), | AF | = 6 cm, | BC | = 12 cm, | CD | = 8 cm; | FB | = how many cm is x?

Question 82-) If ABC is a triangle, m (ADB) = 60 °, | AE | = 7 cm, | BC | = 12 root3 cm; How many cm² is the area (ABEC)?

Question 83-) In the right triangle ABC, if [DE] parallel [BC], | DE | = 6 cm, | AB | = 14 cm; How many cm² is the area (ADC)?

Question 84-) If [AB] perpendicular [BC], [AD] perpendicular [AC], | AD | = | AC |, | AB | = 12 cm; How many cm² is the area (ADB)?

Question 85-) ABC triangle, | AR | = | AP |, | RB | = | BS | = 6 cm, | SC | = | CP | = 10 cm, if A (ABC) = 40 root3 cm²; How many degrees is m (RPS) = α?

Question 86-) If ABC is a triangle, | KC | = 3 | AK |, | AL | = 2 | LB |, | BM | = | MC |, A (KLM) = 7 cm²; How many cm² is A (ABC)?

Question 87-) If ABC is a triangle, | BD | = | DC |, m (DAC) = m (ACD) = 20 °, | AB |. | BC | = 24 cm²; How many cm² is A (ABC)?

Question 88-) If ABC right triangle, [AC] perpendicular [BC], | BC | = 2 | AC |, | BP | = 20 cm, | AP | = 15 cm, | CP | = 10 cm; How many cm² is A (PBC)?

Question 89-) In triangle ABC, if [AD] and [BE] are bisector, | AB | = 13 cm, | AC | = 16 cm, | BC | = 19 cm; | BE | / | FE | What is the rate?

Question 90-) If in triangle ABC [ED] perpendicular [AC], [CF] bisector, 3 | BF | = 4 | AF |, | ED | = 5 cm, | AD | = 7 cm, | DC | = 8 cm ; | BE | how many cm?

Question 91-) If ABC is a triangle, [AD] perpendicular [BC], | AC | = | BC |, | BD | = 4 br; What is the distance from the center of perpendicularity of triangle ABC to corner B?