Question

Dar solucion al siguiente triangulo por medio del teorema Pitagoras si:




a= 13cm b= 8cm c= ?

b= 4cm c= 12cm a= ?

a= 16cm c= 9cm b= ?

Answer 1

Respuesta:

triangulo 1

C= 15,26

triangulo 2

A= 11,31

triangulo 3

B= 13,22

Explicación paso a paso:

triangulo 1

$C^{2} = A^{2} +B^{2} \\C^{2} =(13cm)^{2} +(8cm)^{2} \\C^{2} =169cm^{2} +64cm^{2} \\\C^{2} =233cm^{2} \\\sqrt{C} ^{2} = \sqrt{233cm^{2} } \\C = 15.26$

TRIANGULO 2

$A^{2} =C^{2} -B^{2} \\A^{2} =(12)^{2} -(4)^{2} \\A^{2} =144^{2} +16x^{2} \\A^{2} =128^{2} \\\sqrt{A} ^{2} =\sqrt{128} ^{2} \\A=11,31$

TRIANGULO 3

$B^{2} =C^{2} -A^{2} \\B^{2} =(9cm)^{2} -(16cm)^{2} \\B^{2} =81cm^{2} -256cm^{2} \\B^{2} =175cm^{2} \\\sqrt{B} ^{2}=\sqrt{175cm} ^{2} \\B=13,22$