Question

in a right triangle, a and b are the lengths of the legs and c is the length of the hypotenuse. if $a = 1.5$ meters and $b = 5$ meters, what is the perimeter? if necessary, round to the nearest tenth. $square$ meters

Explanation:

Step1: Calcular la hipotenusa $c$

Usar el teorema de Pitágoras: $c = \sqrt{a^2 + b^2}$
Sustituir valores: $c = \sqrt{(1.5)^2 + (5)^2} = \sqrt{2.25 + 25} = \sqrt{27.25} \approx 5.22$

Step2: Calcular el perímetro

Sumar los tres lados: $P = a + b + c$
Sustituir valores: $P = 1.5 + 5 + 5.22 = 11.72$

Step3: Redondear al décimo más cercano

Redondear 11.72 a 11.7

Answer:

11.7 meters