Question

Find RT of the triangle

Answer 1

`\large\boxed{RT=√(165)}`

Explanation:

PT = NT. Therefore we have the equation:

`4x-17=x+10` add 17 to both sides

`4x=x+27` subtract 4x from both sides

`3x=27` divide both sides by 3

`x=9`

Therefore

`NT=4(9)-17=36-17=19`

Use the Pythagorean theorem:

`RT^2+RN^2=NT^2`

Substitute RN = 14 and NT = 19:

`RT^2+14^2=19^2`

`RT^2+196=361` subtract 196 from both sides

`RT^2=165\to RT=√(165)`