There is a rectangle ABCD as shown in the figure.
AB = 6 cm and AD = 12 cm. AM : MB = 2 : 1 and DN : NC = 1 : 2.
The point P moves on the side AD.
The intersection of the extension of PM and the extension of BC is set to Q.
The intersection of the extension of PN and the extension of BC is set to R.
Answer the following questions.
(1) When the triangle PQR turns into an isosceles triangle of PQ = PR, find the length of AP.
(2) Find the length of AP at the time of BQ = CR.
(3) When the area of the triangle PQR is 90 cm2, find the area of pentagon PMBCN.
AB = 6 cm and AD = 12 cm. AM : MB = 2 : 1 and DN : NC = 1 : 2.
The point P moves on the side AD.
The intersection of the extension of PM and the extension of BC is set to Q.
The intersection of the extension of PN and the extension of BC is set to R.
Answer the following questions.
(1) When the triangle PQR turns into an isosceles triangle of PQ = PR, find the length of AP.
(2) Find the length of AP at the time of BQ = CR.
(3) When the area of the triangle PQR is 90 cm2, find the area of pentagon PMBCN.
Answer
(1) 8 cm
(2) 9.6 cm
(3) 56 cm2
(2) 9.6 cm
(3) 56 cm2
Reference
