Question 4 of my homework
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Answer:
Z = 5cm
Step-by-step explanation:
Pythgorean's theorm says A squared + B squared = c squared
so X and Y in this problem will match A and B in Pythagorean formula
4squared + 3squraed = C squared
16 + 9 = C squared
25 = C squared
Now we need C alone so we are going to square root both sides.
giving us the answer that c = 5 or in the problem Z = 5cm
We can solve for the missing side of the triangle by using the pythagorean theorem.
Formula: [tex]a^2+b^2=c^2[/tex]
a = 3
b = 4
c = ?
Now, we can solve for c.
[tex]3^2+4^2=c^2[/tex]
[tex]9 + 16 = c^2[/tex]
[tex]25 = c^2[/tex]
[tex]\sqrt{25} = \sqrt{c^2}[/tex]
[tex]5 = c[/tex]
Therefore the answer is option B.
Best of Luck!