Question

find the area of a square whose diagonal is 5√2cm​

Answer 1

Step-by-step explanation:

Given,diagonal is 5√2 then by given formula, ==> Area,a = [0.5 * (5√2)(5√2)] ==> a = 0.5 * (25)(2) ==>0.5 *50 ==> 25

Answer 2

HEY MATE YOUR ANSWER IS HERE

★ GIVEN ★

GIVEN ★ DIAGONAL AC = 5√2 cm

★ FIGURE ★

★ FIGURE ★REFFERED TO THE ATTACHMENT

★ TO FIND ★

★ TO FIND ★AREA OF SQUARE ABCD

★ TO FIND ★AREA OF SQUARE ABCD ★ PROFF ★

★ TO FIND ★AREA OF SQUARE ABCD ★ PROFF ★ABCD IS A SQUARE HENCE

AB = BC = CD = AD

ANGLE ( A = B = C = D ) = 90°

NOW IN ∆ ABC

AB² + BC² = AC²

AB² + AB² = AC² ( AS AB = BC )

2AB² = ( 2√5 )²

2AB² = 5 × 4

AB² = 10

AB = √10 cm

NOW AREA OF SQUARE = (SIDE)²

AREA OF SQUARE = (√10 )²

AREA OF SQUARE = 10 cm

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