Question

Ir ABCD is a rectang le, then AE is equal lo
(al 80 units (b) 90 units
(c) 85 uni ts (d) 70 units

Answer 1

Answer:

b)

90 units

Step-by-step explanation:

rectangle Mein Aata Hai

Answer 2

Answer: (a) 80 units

Step-by-step explanation:

We have :- Given, ABCD is a rectangle .

To Calculate :- Length of side AE

Procedure :-

ABCD is a rectangle, hence we have,

Length of side DA = Length of side CB { This is so because opposite sides of rectangle are equal}

Length of side DA = 40 units

So, ∠ADC = 90° { Each angle of a rectangle is equal to 90° }

Therefore, ∠ADE = 90°

Hence, in right-angled ∆ADE we know,

∠DAE = 60° { given }

Hence, by Side-Angle-Side Congruency theorem

cos 60° = DA/AE

1/2 = 40/AE

AE = 40 × 2

Finally, we get AE = 80 units

Hence, length of AE is equal to 80 units.

Hope it helps!