Question

I need help on this question.

Answer 1

This is a right triangle, so we can use the pythagorean theorem:


`\sf a^2+b^2=c^2`

Where 'a' and 'b' are the two legs of the triangle and 'c' is the hypotenuse. Plug in what we know and solve for the missing side:


`\sf 24^2+b^2=26^2`

Simplify:


`\sf 576+b^2=676`

Subtract 576 to both sides:


`\sf b^2=100`

Take the square root of both sides:


`\boxed{\sf b=10}`

So BC is equal to 10.