https://file.aiquickdraw.com/mathbot/file/1726597367038s7ajmu80.jpg

The image shows a right triangle with sides labeled as follows:

- One leg is labeled as \( x \) meters.
- The other leg is labeled as \( x + 1 \) meters.
- The hypotenuse is labeled as 5 meters.

We can use the **Pythagorean theorem** to solve for \( x \), which states:
\[
a^2 + b^2 = c^2
\]
where \( a \) and \( b \) are the legs of the right triangle, and \( c \) is the hypotenuse.

In this case:
- \( a = x \)
- \( b = x + 1 \)
- \( c = 5 \)

The equation becomes:
\[
x^2 + (x + 1)^2 = 5^2
\]
Let's solve this equation for \( x \).

Solve for x in a right triangle where one leg is x meters, the other leg is x + 1 meters, and the hypotenuse is 5 meters.

Learn how to solve for x in a right triangle where one leg is x meters, the other leg is x + 1 meters, and the hypotenuse is 5 meters. This step-by-step solution applies the Pythagorean theorem and expands binomials to find the value of x. Suitable for students in Grades 8-10.

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