Question

What is the length of b

Answer 1

Answer:

24

Step-by-step 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

Answer:

b = 24

Step-by-step 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.

• $\sqrt{b^2} =\sqrt{576}$
• $b=24$

Therefore, b = 24.