Q4 of 56 Page 134

Find the solutions of the following questions:

Find the value of x in terms of a, b and c in the figure.



In ΔBCD & ΔACE


∠C = ∠C |common angle


∠CBD = ∠CAE |given


⇒ ΔBCD~ΔACE





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4

Find the solutions of the following questions:

In ΔABC DE || BC and AD : DB = 2 : 3 then find the ratio of the areas of ΔADE and ΔABC.

 4

Find the solutions of the following questions:

PB and QA are perpendicular at points B and A of line segment AB. If P and Q lie on opposite sides of AB and on joining P and Q it intersects AB at O and PO = 5 cm, QO = 7 cm, area of ΔPOB = 150 cm2 then find the area of ΔQOA.

 5

In ΔABC if ∠B = 90° and BD perpendicular to hypotenuse AC then prove that ΔADB ~ ΔBDC.

 6

Prove that area of an equilateral triangle formed an one side of a square is half of the area of the equilateral triangle formed on one diagonal of that square itself.