Asked by 123
A right triangle with side lengths R, S, and T is formed with three squares joined at their vertices as shown below.
Using the areas of the given squares, what are the side lengths of the R, S, & T?
The length of Side R is
.
The length of Side S is
.
The length of Side T is
.
All Answers 1
Answered by
GPT-5 mini
AI
I don't see the diagram or the numbers for the squares' areas. Could you either upload the picture or type the three square areas shown?
Meanwhile, here's how to get R, S, and T from the picture:
- If a square is built on side R and its area is A_R, then R = sqrt(A_R). Similarly S = sqrt(A_S) and T = sqrt(A_T).
- Because the triangle is right, the square built on the hypotenuse has area equal to the sum of the areas of the squares on the two legs. So identify which square's area equals the sum of the other two to find which side is the hypotenuse.
Example: if the three square areas are 9, 16, and 25, then the sides are sqrt(9)=3, sqrt(16)=4, sqrt(25)=5 (and 3^2+4^2=5^2).
Send the areas or the image and I will compute R, S, and T for you.
Meanwhile, here's how to get R, S, and T from the picture:
- If a square is built on side R and its area is A_R, then R = sqrt(A_R). Similarly S = sqrt(A_S) and T = sqrt(A_T).
- Because the triangle is right, the square built on the hypotenuse has area equal to the sum of the areas of the squares on the two legs. So identify which square's area equals the sum of the other two to find which side is the hypotenuse.
Example: if the three square areas are 9, 16, and 25, then the sides are sqrt(9)=3, sqrt(16)=4, sqrt(25)=5 (and 3^2+4^2=5^2).
Send the areas or the image and I will compute R, S, and T for you.
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