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The larger leg of a right triangle is 3 cm longer than its smaller leg. The
hypotenuse is 8 cm longer than the smaller leg. How many centimeters long is the
smaller leg?

 Dec 11, 2020
 #1
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The larger leg of a right triangle is 3 cm longer than its smaller leg. The
hypotenuse is 8 cm longer than the smaller leg. How many centimeters long is the
smaller leg?

 

a = ?               b = a + 3          c = a + 8

 

a2 + b2 = c2

 

a2 + (a + 3)2 = (a + 8)2

 

a = 13.94427191 cm

 Dec 11, 2020
 #2
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( I tried to edit the above post, but that didn't let me.)

 

a = ?               b = a + 3          c = a + 8

 

a2 + b2 = c2

 

a = sqrt(c2 - b2)

 

a = sqrt[(a + 8)2 - (a + 3)2]

 

a = 13.94427191 cm

 Dec 11, 2020

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