Question

What is the value of x in the right triangle below? Show your work and round your answer to the nearest hundredth. ​

Answer 1

The length of the hypothenuse or the value of x is equal to 19.53

Data;

• hypothenuse = x
• adjacent = 11.2
• opposite = 16

Pythagoras's Theorem

To solve this problem, we have to use Pythagoras's theorem which is used to find the missing side in a right angle triangle if we have at least two sides.

The formula for this is

$x^2 = y^2 + z^2$

Let's substitute the values and solve for the missing side

$x^2 = 16^2 + 11.2^2 \\x^2 = 256 + 125.44\\x^2 = 381.44\\x = \sqrt{381.44} \\x = 19.53$

The length of the hypothenuse or the value of x is equal to 19.53

Learn more Pythagoras theorem here;

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