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next, substitute the value of b in the pythagorean theorem equation. th…

Question

next, substitute the value of b in the pythagorean theorem equation.
the pythagorean theorem says that if a, b, and c are
the sides of a right triangle, where c is the hypotenuse,
then ( a ^ { 2 } + b ^ { 2 } = c ^ { 2 } ).
( a = 7 )
( b = 4 )
( c = ? )
( a ^ { 2 } + b ^ { 2 } = c ^ { 2 } )
( 7 ^ { 2 } + square ^ { 2 } = c ^ { 2 } )

Explanation:

Step1: Substitute the value of \(b\)

Given \(b = 4\), substitute into \(a^{2}+b^{2}=c^{2}\).

Step2: Calculate \(b^{2}\)

\(b^{2}=4^{2}\)

Answer:

\(4\)