1.

Figure ACBD is a rectangle. AD = 3 and DC 4. What is the length AC?

Answer»

Given  : ACBD is a rectangle. AD = 3 and DC 4.

To Find :   length AC

Solution:

ACBD is a rectangle.

A rectangle has all 4 angles right angles

=> ΔADC is right angled at D

Pythagoras' THEOREM: square on the hypotenuse of a right-angled triangle is equal to the sum of the squares of the other two perpendicular sides.  

=> AC²  = AD² + DC²

=> AC²  = 3² + 4²

=> AC² = 9 + 16

=> AC²  = 25

=> AC² = 5²

=> AC = 5

length AC = 5

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