Use the Pythagorean Theorem and the square root property to solve Exercises 139143. Express answers in simplified
Question:
Use the Pythagorean Theorem and the square root property to solve Exercises 139–143. Express answers in simplified radical form. Then find a decimal approximation to the nearest tenth.
The base of a 30-foot ladder is 10 feet from a building. If the ladder reaches the flat roof, how tall is the building?
Pythagorean Theorem
Square root property
The Pythagorean Theorem The sum of the squares of the lengths of the legs of a right triangle equals the square of the length of the hypotenuse. If the legs have lengths a and b, and the hypotenuse has length c, then a² + b² = c². Hypotenuse A b Leg B a Leg C
Step by Step Answer:
x 10 30 x 100900 x 800 Apply the square root pr...View the full answer
Related Video
In mathematics, the Pythagorean theorem, or Pythagoras\' theorem, is a fundamental relation in Euclidean geometry among the three sides of a right triangle. It states that the area of the square whose side is the hypotenuse is equal to the sum of the areas of the squares on the other two sides.
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