Answer: a. 6
The leg, 'x', is 6 units long.
Step-by-step explanation:
We will solve for the leg 'x' in this right triangle using the Pythagorean theorem.
Pythagorean theorem
The Pythagorean theorem is in the form:
a² + b² = c²
'a' and 'b' each represent a leg in the right triangle.
'c' represents the hypotenuse, the longest side.
Solve
Start with the Pythagorean theorem.
a² + b² = c²
Substitute the known sides, 8 as a leg and 10 as the hypotenuse. One missing leg will be 'x'.
8² + x² = 10²
Simplify the exponents.
64 + x² = 100
Now, we isolate the variable 'x'.
Subtract 64 from both sides.
64 + x² - 64 = 100 - 64
Simplify.
x² = 36
Find the square root of both sides.
√x² = √36
Final answer.
x = 6
∴ The leg, 'x', is 6 units long.
Learn more about the Pythagorean theorem here:
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