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Can I please have help with question 2) a and b

Can I please have help with question 2) a and b-example-1

1 Answer

6 votes

Answer:


(10√(6) )/(3) and
(11√(3) )/(3)

Explanation:

(a)

A =
(1)/(2) × 4
√(2) ×
(5)/(√(3) )

= 2
√(2) ×
(5)/(√(3) )

=
(10√(2) )/(√(3) ) ×
(√(3) )/(√(3) ) ← rationalise the denominator

=
(10√(6) )/(3) units²

(b)

Using Pythagoras' identity in the right triangle

let hypotenuse be h , then

h² = (4
√(2) )² + (
(5)/(√(3) )

= 32 +
(25)/(3)

=
(96)/(3) +
(25)/(3)

=
(121)/(3) ( take the square root of both sides )

h =
\sqrt{(121)/(3) } =
(11)/(√(3) ) ×
(√(3) )/(√(3) ) ← rationalise the denominator

h =
(11√(3) )/(3)

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