A painter leans a ladder against one wall of a house. At what height does the ladder touch the wall?

Question

this is from an algebra class. The picture being shown is of a right triangle. The measurement of the right side is 28ft. The measurement of the base is 21ft. The unknown measurement is of the wall which is the left side of the triangle. I want to know what the formula is to solve this.

Answer 1

It falls under the Pythagorean theory which is A squared +B squared = C squared. the answer is 35. the 3,4,5 method is referring to a right triangle to ensure it's angle

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Answer 2

Use the Pythagorean Theorem.  It states that the square of the hypotenuse (the longest side) of a right triangle is equal to the sum of the sqares of the other two sides.  So, 28^2 = 21^2 + x^2.  Solving the equation, x = sqrt(28^2 - 21^2) = sqrt(784-441) = sqrt(343) = 18.5

Answer 3

a^2+b^2= c^2

so

the figure would be like this

.....|\

.....|.\    <-hypoteneuse

b> |..\

28 |...\

.....|__\

..... ^

.....a    21

28^2+21^2=  1225 or c^2

     so 1225 root is  35^2

35 is ur answer

Answer 4

its a simple 3 4 5 right triangle.  so the answer is 35...yes u CAN use the pythag th.,but thats a waste of time. the simplest solution is to find the common denominator.  if base & ht are 3&4, its a given the hyp is 5

Answer 5

This problem falls under the Pythagorean Thoerem. The problem is simple.

21 squared (441) + 28 squared (784) = 1,225.

The answer is the square root of 1225, or 35.

The formula for the Pythagorean Theorem is a squared + b squared = c squared.