tlexman5 tlexman5

18-01-2022
Mathematics

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Given the isosceles right triangle shown below, if TC = 7, find the measure of TL. Round answer to nearest hundredth. T

Given the isosceles right triangle shown below if TC 7 find the measure of TL Round answer to nearest hundredth T class=

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sqdancefan sqdancefan

22-01-2022

Answer:

TL ≈ 9.90

Step-by-step explanation:

The Pythagorean theorem tells you ...

TC² +LC² = TL²

In this isosceles triangle, LC = TC, so we have ...

TL² = TC² +TC² = 2·TC²

Taking the square root gives ...

TL = TC√2 = 7√2

TL ≈ 9.90

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