PQR is a triangle. S is a point on the side QR of ΔPQR such that `angle PSR = angle QPR`. Given QP = 8 cm,PR = 6 cm and SR = 3 cm.
1) Prove ΔPQR ~ ΔSPR
2) Find the length of QR and PS
3) `" area of ΔPQR"/"area of ΔSPR"`
In the given figure, AX : XB = 3: 5
(i) the length of BC, if the length of XY is 18 cm.
(ii) the ratio between the areas of trapezium XBCY and triangle ABC.
A triangle ABC with AB = 3 cm, BC = 6 cm and AC = 4 cm is enlarged to ΔDEF such that the longest side of ΔDEF = 9 cm. Find the scale factor and hence, the lengths of the other sides of ΔDEF.
In the given figure, ∠B = ∠E, ∠ACD = ∠BCE, AB = 10.4cm and DE = 7.8 cm. Find the ratio
between areas of the ∆ABC and ∆ DEC
In ∆ABC, ∠B = 90° and BD ⊥ AC.
(i) If CD = 10 cm and BD = 8 cm; find AD.
(ii) IF AC = 18 cm and AD = 6cm; find BD.
(iii) If AC = 9 cm and AB = 7cm; find AD.
The ratio between the areas of two similar triangles is 16 : 25, Find the ratio between their:
(i) perimeters (ii) altitudes (iii) medians
Triangle ABC is an isosceles triangle in which AB = AC = 13 cm and BC = 10 cm. AD is
perpendicular to BC. If CE = 8 cm and EF ⊥ AB, find:
i)`"area of ADC"/"area of FEB"` ii)`"area of ΔAFEB"/"area of ΔABC"`