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The diagram shows Squares R, S, and T joined at vertices to form a right triangle.
Make this statement true by selecting the applicable answer for each dropdown box.
The sum of the areas of
and
is equal to the area of
.
34:48
Skip to resources
Question
The diagram shows Squares R, S, and T joined at vertices to form a right triangle.
Make this statement true by selecting the applicable answer for each dropdown box.
The sum of the areas of
and
is equal to the area of
.
Answers
GPT-4o mini
To make the statement true, we can utilize the Pythagorean theorem, which states that in a right triangle, the sum of the areas of the squares on the two legs is equal to the area of the square on the hypotenuse.
Assuming:
- Square R corresponds to one leg of the right triangle.
- Square S corresponds to the other leg of the right triangle.
- Square T corresponds to the hypotenuse of the right triangle.
You can fill in the dropdown boxes as follows:
The sum of the areas of **R** and **S** is equal to the area of **T**.
So the complete statement would read: "The sum of the areas of R and S is equal to the area of T."
Assuming:
- Square R corresponds to one leg of the right triangle.
- Square S corresponds to the other leg of the right triangle.
- Square T corresponds to the hypotenuse of the right triangle.
You can fill in the dropdown boxes as follows:
The sum of the areas of **R** and **S** is equal to the area of **T**.
So the complete statement would read: "The sum of the areas of R and S is equal to the area of T."