Math, asked by sudhanandi81, 10 months ago

find the area of the rectangle whose length is 40cm and a diagonal is 41 cm.​

Answers

Answered by jefferson7
2

find the area of the rectangle whose length is 40cm and a diagonal is 41 cm.​

Step-by-step explanation:

Δ ACD

AB = CD = 40 CM

AD=41 CM

∠ACD = 90° ( RECTANGLE HAS 90° ON ALL THE BOTH SIDES)

Using Pythagoras theorem

AD² = AC² + CD²

AD² - CD² = AC²

(41)² - (40)² = AC²

1681 - 1600 = 81 = AC²

√81 = AC

AC = 9 CM

The area of Rectangle ABCD = 2 (l+b)

40*9 = 360 CM

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