1) Qual é a equação que representa o perímetro de 103 cm de um triângulo escaleno? * 1 ponto

a) 3x = 103

b) 2x – y = 103

c) x + y + z = 103

d) x + 3y = 103

2) Determine a área de um triângulo equilátero, sabendo que este tem 48 cm de perímetro e altura 14cm. *

1 ponto

a) 96 cm²

b) 100 cm²

c) 104 cm²

d) 112 cm²

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the correct option is 2.

step-by-step explanation:

according to the given information triangle abc is a right angle triangle with right angle at a. segment ab is 5 and segment ac is 7. point d is on segment bc and angles adb and adc are right angles.

it is given that triangles abd, cad, and cba are similar.

two triangles are similar if their corresponding sides are proportional.

in triangle cba, using pythagoras theorem

                      )

triangle abd and cba are similar,

                            (2)

triangle cad and cba are similar,

                      )

using (1), (2) and (3), we get

hence proved.

therefore option 2 is correct.

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step-by-step explanation: