One of the legs of a right triangle measures 1 cm and its hypotenuse measures 19 cm. Find the measure of the other leg. If necessary, round to the nearest tenth.

Respuesta :

Hey there!:

According to the Pythagorean theorem, the sum of the squares of the legs of a right triangle is equal to the square of the hypotenuse (H):

1² + 19² = x²

1 + 361 = x²

x² = 1 + 361

x² = 362

x = √ 362

x = 19.02

Hope this helps!

[tex]\huge{\green{\underline{\underline{\tt{\orange{ANSWER:-}}}}}}[/tex]

As per Pythagoras theorem we do know that,

[tex]:\implies\tt{ {1}^{2} + {19}^{2} = {x}^{2} } \\ \\ :\implies\tt{1 + 361 = {x}^{2} } \\ \\ :\implies\tt{ {x}^{2} = 1 + 361} \\ \\ :\implies\tt{ {x}^{2} = 362} \\ \\ :\implies\tt{x = \sqrt{362} } \\ \\ :\implies\tt{x = 19.02}[/tex]

  • The measure of other length of leg is 19.02cm.