Construct a quadrilateral ABCD in which AB = 4.4 cm, BC = 4 cm, CD = 6.4 cm, DA = 2.8 cm
and BD = 6.6 cm. Measure the length of AC.
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AC = 5.75 cm
Step-by-step explanation:
GIVEN
AB = 4.4 cm
BC = 4 cm
CD = 6.4 cm
DA = 2.8 cm
BD = 6.6 cm
___________________________
TO FIND
AC
___________________________
To find AC
We will use the hypotenuse theorem
Hypotenuse² = Base² + Height²
Here
Hypotenuse = DC = 6.4 cm
Base = DA = 2.8 cm
Height = AC = ?
We know that,
( Hypotenuse ) ² = ( Base ) ² + ( Height ) ²
( Height ) ² = ( Hypotenuse ) ² - ( Base ) ²
( Height )² = ( DC ) ² - ( DA ) ²
( Height ) ² = (6.4)² - (2.8) ²
( Height ) ² = 40.96 - 7.84
( Height ) ² = 33.12
Height = 5.75
Height = 5.75 cm
AC = 5.75 cm
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