Question

Cade and Tyce both tried to find the missing side of the right triangle. A right triangle is shown. The legs are labeled 6 and 9. A right angle is labeled in between them. Cade's Work Tyce's Work a2 + b2 = c2 a2 + b2 = c2 62 + b2 = 92 62 + 92 = c2 36 + b2 = 81 36 + 81 = c2 b2 = 45 117 = c2 Square root b squared equals square root 45. Square root 117 equals c squared. b ≈ 6.71 cades answer 10.82 ≈ c tyce answer Is either of them correct? Explain your reasoning.

Answer 1

Step-by-step explanation:

Two legs of the right triangle are 6 and 9. We can find its third side as follows :

$a^2+b^2=c^2$

The above is called Pythagoras theorem and it is applicable for a right angled triangle.

a,b and c are base, perpendicular and hypotenuse respectively

c is the third side

So,

$c^2=6^2+9^2\\\\c=\sqrt{117} \\\\c=10.816\approx 10.82$

Hence, Cade and Tyce both are correct. The length of the missing side is 10.82

Answer 2

Answer:

Tyce's work is correct because he follows all the steps correctly. But Cade's did it wrong because he put the value of the B in C.

Step-by-step explanation:

1.

     A² + B² = C²

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2.

     6² + 9² = C²

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3.

    36 + 81 = 117 or 10.82