A right triangle is shown. One leg is labeled 5 and the other is labeled 13. A right angles is labeled in between the legs.

Mckenzie's Work Cara's Work

a2 + b2 = c2 a2 + b2 = c2

52 + 132 = c2 52 + b2 = 132

25 + 169 = c2 25 + b2 = 169

194 = c2 b2 = 144

Square root 194 equals square root c squared. Square root b squared equals square root 144.

13.93 ≈ c b ≈ 12
Who is right?

A right triangle is shown One leg is labeled 5 and the other is labeled 13 A right angles is labeled in between the legsMckenzies Work Caras Worka2 b2 c2 a2 b2 class=

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Answer:

Makenzie is correct,  13.93 ≈c

Step-by-step explanation:

the sides with determined lengths (see image) are A (13) and B (5). C however is not determined.

the correct equation would be to solve for c.

13² + 5² = c²

[tex]\sqrt {169 + 25} = c[/tex]

c ≈ 13.93

Clara solved for b and not c, which is incorrect.

Ver imagen mrichard232

The right working is as follows:

c² = a² + b²

c² = 5² + 13²

Using Pythagoras theorem,

c² = a² + b²

where

c = hypotenuse

a and b are the other two legs.

Therefore,

c = ?

a = 5

b = 13

c² = 5² + 13²

c² = 25 + 169

c² = 194

c = √194

c = 13.9283882772

c = 13.9 inches

learn more on Pythagoras theorem: https://brainly.com/question/25222676?referrer=searchResults

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