Question

The ratio of corresponding sides for the pair of triangles whose construction is given as follows: Triangle ABC of dimensions AB = 4cm, BC = 5 cm and ∠B= 60°.A ray BX is drawn from B making an acute angle with AB.5 points B1, B2, B3, B4 and B5 are located on the ray such that BB1 = B1B2 = B2B3 = B3B4 = B4B5.

B4 is joined to A and a line parallel to B4A is drawn through B5 to intersect the extended line AB at A’.

Another line is drawn through A’ parallel to AC, intersecting the extended line BC at C’. Find the ratio of the corresponding sides of ΔABC and ΔA′BC′.

विकल्प

• 1 : 5

• 1 : 4

• 4 : 5

• 4 : 1

Answer 1

4 : 5

Explanation:-

According to the construction, ΔBB₄A ∼ ΔBB₅A′ and for similar triangles, the ratio of corresponding sides is `(AB)/(A^′B)`.

The ratio of corresponding sides is 4 : 5.