Question

20. In the figure given below, find the value of AC. A 16 cm 90° B C 30 cm what si answer ​

Answer 1

Answer:

Given: D=90°,AB=16cm,BC=12cm and CA=6cm

ADC is a right triangle.

So, AC2=AD2+CD2   [Pythagoras theorem]

62=AD2+CD2…..(i)

ABD is also a right triangle.

So, AB2=AD2+BD2    [Pythagoras theorem]

162=AD2+(BC+CD)2

162=AD2+(12+CD)2

256=AD2+144+24CD+CD2

256−144=AD2+CD2+24CD

AD2+CD2=112−24CD

62=112−24CD  [from (i)]

36=112−24CD

24CD=112−36

24CD=76

CD=

Explanation:

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