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The triangles are similar. What is the value of x? Enter your answer in the box. x = two right triangles. the bigger triangle's longer leg is labeled 3 x plus 8, the shorter leg is 15 units, and the hypotenuse is 25 units. the smaller triangle has a longer leg of 4 units, shorter leg of 3 units, and hypotenuse of 5 units.

Respuesta :

Answer:

4

Step-by-step explanation:

  • let the smaller triangle be PQR and bigger triangle be ABC
  • Let, AB = 4, BC = 3, AC = 5 and

PQ = 3x+8, QR = 15, PR = 25.

  • since the two triangles are similar, we have

[tex]\frac{AB}{BC} = \frac{PQ}{QR}   ( SINCE, \frac{longer side of ABC}{Shorter side of ABC}  = \frac{longer side of PQR}{Shorter side of PQR} )[/tex]

  • SO,

[tex]\frac{4}{3} = \frac{3x+8}{15}[/tex]

by cross multiplying,

4*15 = (3x+8)*3

60=9x+24

subtracting both sides by 24,

36=9x

dividing both sides by 9,

4=x

tristeannashaffer123

Answer:

Yeah it's 4

Step-by-step explanation:

X=4

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