Question

how to solve these type of questions ​

Answer 1

Step-by-step explanation:

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Answer 2

Answer:

Step-by-step explanation:

This type of questions involve the usage of Pythagoras Theorem.

According to Pythagoras Theorem, in a right angled triangle,

$a^{2}$ + $b^{2}$ = $c^{2}$ , where a and b are lengths of the legs, and c is the length of hypotenuse.

In ΔABC, ∠B = 90 degrees.

AC² = AB² + BC²

AC² = (√8)² + (√24)² = 32

AC = √32..(1)

In ΔABD, ∠D = 90 degrees.

AB² = BD² + AD²

(√8)² = (√6)² + AD²

AD² = 8 - 6 = 2

AD = √2..(2)

In ΔBDC, ∠D = 90 degrees.

BC² = BD² + DC²

(√24)² = (√6)² + DC²

AD² = 24 - 6 = 18

AD = √18..(3)

Note that AC = AD + DC

√32 = √2 + √18 [From (1), (2), and (3)]

Hope this helps you solve such questions.

Happy to help! :)