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A ladder leans against the side of a house. The top of the ladder is 2 m from the ground. The bottom of the ladder is 2 m from the side of the house. Find the length of the ladder. If necessary, round your answer to the nearest tenth.

A ladder leans against the side of a house The top of the ladder is 2 m from the ground The bottom of the ladder is 2 m from the side of the house Find the leng class=

Respuesta :

Bromine67

Answer:

so length of ladder is 2.8 m.

Step-by-step explanation:

Since its a right angled triangle, use pythagoras theorem

Now

h² = p² + b²

or, h² = 2² + 2²

or, h² = 4 + 4

or, h² = 8

[tex]h = \sqrt{8} \\ so \: h \: = 2 \sqrt{2} \\ h \: = 2.84[/tex]

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