Question

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

Answer 1

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