Question

Find the lengths of the hypotenuses (x) of the triangle whose legs are given

1) 3cm,4cm

Answer 1

5cm

Explanation:

You use the Pythagoras theorem

`{a}^(2) + {b}^(2) = {c}^(2) \\ {3}^(2) + {4}^(2) = {c}^(2) \\ 9 + 16 = {c}^(2) \\ 25 = {c}^(2) \\ √(25) = \sqrt{ {c}^(2) } \\ 5 = c \\ c = 5`

Answer 2

a = 3 cm

b = 4 cm

c = ?

c = √{ a² + b² }

c = √{ 9 + 16 }

c = 5 cm

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