Find the missing side.
![Find the missing side class=](https://us-static.z-dn.net/files/da6/4dcac89827819655a36af241a7a9c144.jpg)
Answer:
5
Step-by-step explanation:
This is a right triangle, but note that you only know the measurement of one angle, which is 90 degrees.
Use the following formula to solve:
a² + b² = c²
In which:
a & b = shorter sides
c = hypotenuse
Plug in the corresponding numbers to the corresponding variables:
(3)² + (4)² = ?²
Solve. Remember to follow PEMDAS. First, solve the exponents, then add:
(3)² = (3 * 3) = (9)
(4)² = (4 * 4) = (16)
9 + 16 = ?²
25 = ?²
Isolate "?". Root both sides:
√(25) = √(?²)
? = √25 = √(5 * 5) = 5
Your missing side's measurement is 5.
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Answer:
The missing side is 5
Step-by-step explanation:
Step 1: Use Pythagorean Theorem to find the hypotenuse
Since we are given two sides, a and b, we need to find the hypotenuse or c.
Formula: [tex]a^2 + b^2 = c^2[/tex]
Plug in
[tex](3)^2 + (4)^2 = c^2[/tex]
[tex]9 + 16 = c^2[/tex]
[tex]25 = c^2[/tex]
Square root both sides
[tex]\sqrt{25} = \sqrt{c^2}[/tex]
[tex]\sqrt{5^2} = c[/tex]
[tex]5 = c[/tex]
Answer: The missing side is 5