Question

What is the length of b

Answer 1

24

Explanation:

This is a scaled pythagorean triple. If you scale it by dividing by 2, then you see 5 and thirteen, which matches a (5, 12, 13) triple

Answer 2

b = 24

Explanation:

Concepts

The Pythagorean Theorem states that the sum of the squares of the two other sides on a right triangle is equal to hypotenuse (longest side) squared. It can be represented by the equation
`a^2+b^2=c^2`. We can also use this formula to solve for the other two legs in the right triangle.

Application

In this case, we're asked to find the length of b in the right triangle, given c as 26 and a as 10. Now, we just apply the formula and solve for b.

Solution

Step 1: Set up equation and simplify.

• 
  `10^2+b^2=26^2`
• 
  `100+b^2=676`

Step 2: Subtract 100 from both sides.

• 
  `100+b^2-100=676-100`
• 
  `b^2=576`

Step 3: Take square root of both sides.

• 
  `√(b^2) =√(576)`
• 
  `b=24`

Therefore, b = 24.