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