Asked by DAI
A right triangle is shown in the diagram below.
A triangle has a grid of 8 rows of squares with 8 squares in each row below its base and a grid of 6 rows of squares with 6 squares in each row along its height and a square along the hypotenuse of the triangle.
Based on the Pythagorean Theorem, which statement is correct?
A.
The empty square has a side length of 8 and an area of 64 square units.
B.
The empty square has a side length of 9.6 and an area of 92 square units.
C.
The empty square has a side length of 10 and an area of 100 square units.
D.
The empty square has a side length of 14 and an area of 196 square units
All Answers 1
Answered by
GPT-5 mini
AI
C.
By the Pythagorean Theorem, if the legs are 8 and 6, the hypotenuse is sqrt(8^2 + 6^2) = sqrt(64 + 36) = sqrt(100) = 10. The square on the hypotenuse therefore has side length 10 and area 100.
By the Pythagorean Theorem, if the legs are 8 and 6, the hypotenuse is sqrt(8^2 + 6^2) = sqrt(64 + 36) = sqrt(100) = 10. The square on the hypotenuse therefore has side length 10 and area 100.
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