Question

In a given square ABCD, if the area of triangle ABD is 36cm², find (i) the area of triangle BCD; (ii) the area of the square ABCD

Answer 1

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Answer 2

Answer:

the area of triangle BCD  =  36 cm²

area of the square ABCD = 72 cm²

Step-by-step explanation:

ABCD is a Square

=> AB = BC = CD = DA  = X (Let say)

& ∠A = ∠B = ∠C = ∠D  = 90°

area of triangle ABD  = (1/2) * AB * AD

= (1/2) * X * X

= X²/2

area of triangle ABD is 36cm²,

=> X²/2 = 36

=> X² = 72

=> X = 6√2 cm

the area of triangle BCD  = (1/2) * BC * CD

= (1/2) * X * X

= X²/2

= 36 cm²

the area of triangle BCD  =  36 cm²

area of the square ABCD = AB * BC   = X² = 72 cm²