Question

Mckenzie and Cara both tried to find the missing side of the right triangle.
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

Is either of them correct? Explain your reasoning

Answer 1

Mckenzie's Work is correct in finding the missing side of the right angled triangle.

Pythagoras theorem

Pythagoras theorem is used to show the relationship between the sides of a right angle triangle. It is given by:

Hypotenuse² = Adjacent side² + Opposite side²

From the right angle:

a² + b² = c²

c² = 13² + 5²

c² = 25 + 169

c² = 194

c = 13.93

Mckenzie's Work is correct in finding the missing side of the right angled triangle.

Find out more on Pythagoras theorem at: https://brainly.com/question/343682