The Pythagorean theorem states that in every right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the respective lengths of the legs. It is the best-known proposition among those that have their own name in mathematics.

Pythagoras theorem

In every right triangle the square of the hypotenuse is equal to the sum of the squares of the legs.

If in a right triangle there are legs of length a and b the measure of the hypotenuse is c then the following relation is fulfilled:

$a^{2} +b^{2} =c^{2}$

With a = 3 and b = 4

$c=\sqrt{3^{2} +4^{2}} =\sqrt{9+16} =\sqrt{25} \\c=5$

7 0

3 years ago

Let the joint pdf of X andY be f(x,y) = 12e−4x−3y , x > 0, y > 0.

forsale [732]

Answer:

Step-by-step explanation:

Find attached the solution

3 0

3 years ago

Ms. Li spent $840 on a vacation. She spent 2/3 of the amount on a plane ticket and 1/2 of the remaining amount on food. How much

olya-2409 [2.1K]

$\bf 840\cdot \cfrac{2}{3}\impliedby \textit{on the plane ticket}
\\\\\\
\left( 840\cdot \cfrac{2}{3} \right)\cdot \cfrac{1}{2}\impliedby \textit{ on food}$

4 0

3 years ago