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Jayden and Sheridan both tried to find the missing side of the right triangle.
A right triangle is shown. One leg is labeled as 7 centimeters. The hypotenuse is labeled as 13 centimeters.

Jayden's Work Sheridan's Work
a2 + b2 = c2 a2 + b2 = c2
72 + 132 = c2 72 + b2 = 132
49 + 169 = c2 49 + b2 = 169
218 = c2 b2 = 120
Square root 218 equals square root c squared. Square root b squared equals square root 120.
14.76 ≈ c b ≈ 10.95

Is either of them correct? Explain your reasoning.

Respuesta :

quasarJose

Answer:

Sheridan is correct : 10.95cm

Step-by-step explanation:

The hypotenuse is longest side of a right angled triangle.

From the parameters given, it is expected that whatever answer Jayden and Sheridan will produce would be lesser than that given for the hypotenuse.

Also, from the pythagoras theorem used to solve the problem, Jayden did not have a full comprehension of it:

a² + b² = c²

where  a or b could either opposite or adjacent sides of the triangle, c, the longest side is the hypotenuse.

Therefore, Sheridan's solution perfectly and logically satisfy the solution.

   7² + b² = 13²

   b² = 13² - 7²

   b² = 169 - 49

   b = √120

   b = 10.95cm

Thesmartwon

Answer:

Sheridan is correct : 10.95cm

Step-by-step explanation:

The hypotenuse is longest side of a right angled triangle.

From the parameters given, it is expected that whatever answer Jayden and Sheridan will produce would be lesser than that given for the hypotenuse.

Also, from the pythagoras theorem used to solve the problem, Jayden did not have a full comprehension of it:

a² + b² = c²

where  a or b could either opposite or adjacent sides of the triangle, c, the longest side is the hypotenuse.

Therefore, Sheridan's solution perfectly and logically satisfy the solution.

  7² + b² = 13²

  b² = 13² - 7²

  b² = 169 - 49

  b = √120

  b = 10.95cm

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