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Vikentia [17]
3 years ago
5

The diagram shows a right triangle and three squares. The area of the largest square is 67 units squared.

Mathematics
2 answers:
seropon [69]3 years ago
6 0

Answer:

c 11 and 56 A 8 and 58

Step-by-step explanation:

geniusboy [140]3 years ago
5 0

Answer:

B. 7 and 60

C. 11 and 56

Step-by-step explanation:

see the attached figure to better understand the problem

we know that

The area of the three squares must satisfy the Pythagorean Theorem

so

c^2=a^2+b^2

where

c^2 is the area of the largest square

a^2 and b^2 are the areas of the smaller squares

67=a^2+b^2

The sum of the areas of the smaller squares must be equal to 67

therefore

7 and 60 ----> could be the areas of the smaller squares (60+7=67)

11 and 56 ----> could be the areas of the smaller squares (11+56=67)

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