The corner of a room where two walls meet the floor should be a right triangle. Jeff makes a mark along each wall. One mark is 15 inches from the corner. The other is 8 inches from the corner. How can Jeff use the Pythagorean Theorem to see if the walls form a right angle?

USED PYHTOGOREAN THEOREM

Step-by-step explanation:

GIVEN: The corner of a room where two walls meet the floor should be a right triangle. Jeff makes a mark along each wall. One mark is inches from the corner. The other is inches from the corner.

TO FIND: How can Jeff use the Pythagorean Theorem to see if the walls form a right angle.

SOLUTION:

Consider the figure attached.

Let first mark that is inches from wall be

Let the second mark that is inches from wall be

Now to check whether the corner is right angle we will use Pythagorean theorem.

Pythagorean theorem states that the square of side that is hypotenuse is equal to the sum of squares of other two sides in a right angle triangle.

applying it

using Pythagorean theorem direct distance between both marks is

Now, Jeff can measure the direct distance between both marks, if it is   , the Pythagorean theorem holds true for it and corner forms a right angle.

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step-by-step explanation:

the answer is:

the answer is:

to solve the problem, we need to remember the quotient of power property, it's defined by the following relation:

if we have a quotienf of powers that have the same base, we need to keep the same base and subtract the exponent of the denominator power to the exponent of the numerator power.

so, we are given the expression:

then, calculating we have:

hence, the answer is:

have a nice day!