Answer:
[tex]b=15[/tex]
Step-by-step explanation:
Given right triangle ABC.
m∠C=90°
Measure of leg BC = [tex]a=8[/tex]
Measure of hypotenuse AB= [tex]c=17[/tex]
To find the Leg AC = [tex]b[/tex]
Solution:
Applying Pythagorean theorem.
[tex]Hypotenuse ^2= Leg1^2 + Leg 2^2[/tex]
For the given triangle :
[tex]AB^2=BC^2+AC^2[/tex]
[tex]c^2=a^2+b^2[/tex]
Plugging in the given values.
[tex]17^2=8^2+b^2[/tex]
[tex]289=64+b^2[/tex]
Subtracting both sides by 64.
[tex]289-64=64-64+b^2[/tex]
[tex]225=b^2[/tex]
Taking square root both sides.
[tex]\sqrt{225}=\sqrt{b^2}[/tex]
[tex]15=b[/tex]
∴ [tex]b=15[/tex] (Answer)
