The diagram shows three squares that are joined at vertices to form a right triangle. Which statement is true? A. The sum of the areas of Square N and Square L is equal to the area of Square K.
B. The sum of the areas of Square N and Square L is greater than the area of Square K.
C. The sum of the areas of Square N and Square K is equal to the area of Square L.
D. The sum of the areas of Square N and Square K is less than the area of Square L.

The sum of the areas of Square N and Square L is equal to the area of Square K and this can be determined by using the Pythagorean theorem.

Given :

The diagram shows three squares that are joined at vertices to form a right triangle.

The following steps can be used in order to determine which statement is true:

Step 1 - The Pythagorean theorem can be used in order to determine which statement is true.

Step 2 - According to the Pythagorean theorem, the sum of the square of the shorter sides is equal to the square of the longer side.

Step 3 - So, from the above steps, it can be concluded that the sum of the areas of Square N and Square L is equal to the area of Square K.

Therefore, the correct statement is given by option A).

For more information, refer to the link given below:

link

a) the sum of the areas of square n and square l is equal to the area of square k.

step-by-step explanation:

https://quiz izz.com/admin/quiz/5ecffa4789713d001cea9223/2019-8th-grade-staar

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a=24; b=12

step-by-step explanation:

a/b=2: 1

a=2b

36/(1+2)=12

b=12

a=24