This is a right-angled triangle problem where we need to find the hypotenuse $x$ using the Pythagorean Theorem:

$a^2 + b^2 = c^2$

where:

• $a = 7$ cm
• $b = 9$ cm
• $c = x$ (hypotenuse)

Step 1: Substitute values

$7^2 + 9^2 = x^2$

$49 + 81 = x^2$

$130 = x^2$

Step 2: Solve for $x$

$x = \sqrt{130}$

$x \approx 11.4 \text{ cm} \quad \text{(rounded to 1 decimal place)}$

Final Answer:

$x = 11.4 \text{ cm}$

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Related Questions:

1. How do you identify the hypotenuse in a right-angled triangle?