The length of the hypothenuse or the value of x is equal to 19.53
This is a right angle triangle and since we have a missing side, we should list our data first and find an option to solve this.
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.
[tex]x^2 = 16^2 + 11.2^2 \\x^2 = 256 + 125.44\\x^2 = 381.44\\x = \sqrt{381.44} \\x = 19.53[/tex]
The length of the hypothenuse or the value of x is equal to 19.53.
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