Find the missing side b in right triangle ∆abc, where a=11.9 cm, c=14.7 cm and c is the hypotenuse of the right triangle. Round your answer to the nearest tenth

Respuesta :

This is basic Pythagoras. Remember A squared + B squared = C squared? 
reverse it and u get c squared - a squared =  b squared. 
Apply to ur equation. 14.7 squared - 11.9 squared = 216.09 - 141.61 = 74.48 squared. find the square root, 8.630179604156567, and round it to the nearest 10th. That will equal 8.6 
Hope it helps!
Puffin.

The missing side is 8.6 cm.

What is Pythagoras Theorem?

The square of the length of the hypotenuse of a right triangle equals the sum of the squares of the lengths of the other two sides.

We have,

a=11.9 cm and c= 14.7 cm

c is hypotenuse

Using Pythagoras theorem, we have

H²=P²+B²

=14.7²-11.9²

   =(14.7+11.9)(14.7-11.9)

   = 26.6*2.8

   = 74.48

b= √74.48

b= 8.630179604156567

b= 8.6 (round it to the nearest 10th)

Hence, the value of b is 8.6 cm

Learn more about Pythagoras theorem here:

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