As shown in the figure, the point P is in the inside of triangle ABC.
The points that the straight line which passes along the vertex A, B, C and the point P crosses the sides BC, CA, and AB is set to D, E, and F, respectively.
The intersection of a straight line passing through the point F and being parallel to BP and AD is set to G.
AP = 3 cm, BP = 5 cm, CP = 2 cm, PD = 1 cm, PF = 2 cm.
Answer the following questions.
Noted that the triangle of which the ratio of three sides is 3 : 4 : 5 is a right triangle.
(1) Find the area ratio of triangle ABC, the triangle ABP, and the triangle PBC by the least integer.
(2) Find AF : PB by the least integer.
(3) Find the length of FG.
(4) Find the area of triangle ABC.
The points that the straight line which passes along the vertex A, B, C and the point P crosses the sides BC, CA, and AB is set to D, E, and F, respectively.
The intersection of a straight line passing through the point F and being parallel to BP and AD is set to G.
AP = 3 cm, BP = 5 cm, CP = 2 cm, PD = 1 cm, PF = 2 cm.
Answer the following questions.
Noted that the triangle of which the ratio of three sides is 3 : 4 : 5 is a right triangle.
(1) Find the area ratio of triangle ABC, the triangle ABP, and the triangle PBC by the least integer.
(2) Find AF : PB by the least integer.
(3) Find the length of FG.
(4) Find the area of triangle ABC.
Answer
(1) 4 : 2 : 1
(2) 1 : 1
(3) 2.5 cm
(4) 12 cm2
(2) 1 : 1
(3) 2.5 cm
(4) 12 cm2
