The larger of two numbers is 12 more than the smaller number. If the sum of the two numbers is 74, find the two numbers.
1 answer:
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This is a problem for the Pythagorean Theorem: a² + b² = c², where a, b, and c are the three sides of the triangle, and c is the hypotenuse. The hypotenuse of a triangle is the side across from the 90 degree angle.
In this case, the hypotenuse, c, is 12, because the ladder is 12 feet long (and is the side across from the 90 degree angle created by the ground and the side of the house). You have one of the other sides (3 feet), so you can find the last side by plugging in the numbers:
In this case, the hypotenuse, c, is 12, because the ladder is 12 feet long (and is the side across from the 90 degree angle created by the ground and the side of the house). You have one of the other sides (3 feet), so you can find the last side by plugging in the numbers:
Answer:
C
Step-by-step explanation:
using the pythagorean theorem,
a²+b²=c²
8²+7²=c²
64+49=c²
113=c²
10.63=c