Question

Plzz ans fast it urgent

Answer 1

Step-by-step explanation:

1) In first condition we have to prove that both the traingles are similar. So, for that we need to prove that all the respective angles of both the triangles are equal.

here, in triangle ACD and ABD.

angle D = angle D (both 90°)

2) For finding the length of AD we have a formula of drawing an altitude on the hypoteneuse which is,

Altitude of hypoteneuse h×h = x × y

here x and y are the segments in which altitude divides the hypoteneuse and here x is 8 and y is 18

so, AD => h^2 = 8 × 18

=> h = / 8 × 18

=> h = 4 × 3

=> h = 12cms.

3) ratio of the area of any 2 similar triangle is square of the ratio of their corresponding sides.

here ratio of CD and BD is,

CD/BD = 8/18

CD/BD = 4/9

SO, now square of these two will be,

Area of CDA : AREA OF ABD = 16 : 81

HOPE THIS WILL HELP.

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