Mathematics
A triangle ABC with AB = 3 cm, BC = 6 cm and AC = 4 cm is enlarged to △DEF such that the longest side of △DEF = 9 cm. Find the scale factor and hence, the lengths of the other sides of △DEF.
Related Questions
In a triangle PQR, L and M are two points on the base QR, such that ∠LPQ = ∠QRP and ∠RPM = ∠RQP. Prove that :
(i) △PQL ~ △RPM
(ii) QL × RM = PL × PM
(iii) PQ2 = QR × QL
The dimensions of the model of a multistoreyed building are 1 m by 60 cm by 1.20 m. If the scale factor is 1 : 50, find the actual dimensions of the building.
Also, find :
(i) the floor area of a room of the building, if the floor area of the corresponding room in the model is 50 sq. cm.
(ii) the space (volume) inside a room of the model, if the space inside the corresponding room of the building is 90 m3.
Two isosceles triangles have equal vertical angles. Show that the triangles are similar.
If the ratio between the areas of these two triangles is 16 : 25, find the ratio between their corresponding altitudes.
In △ABC, AP : PB = 2 : 3. PO is parallel to BC and is extended to Q so that CQ is parallel to BA. Find :
(i) area △APO : area △ABC
(ii) area △APO : area △CQO.
