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Find the unknown side length, x. Write your answer in simplest radical form.​

Find the unknown side length, x. Write your answer in simplest radical form.​-example-1
User Mathiasfc
by
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1 Answer

7 votes

Answer:

√41

Explanation:

Considering the largest triangle,

The unknown side = √[(52)^2 + (40)^2]

= √400

= 20

Considering the second largest,

The unknown side = √[(20)^2 + (12)^2]

= √256

= 16

Considering the the smaller one,

Using pythagoras theorem

Unknown side = 12

The base of the smallest triangle is 16 - 12 = 4

hence x = √[(4)^2 + (5)^2]

= √41

User Vie
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