The shortest distance between Melinda’s house and Mary’s house will be equal to 10 blocks.
What is the Pythagorean theorem?
Pythagorean theorem states that in the right angle triangle the hypotenuse square is equal the square of the sum of the other two sides.
Here we have the condition that Melinda leaves her house and walks north 6 blocks. She turns and heads east 8 blocks until she reaches Mary’s house.
Now we need to calculate shortest distance between Melinda’s house and Mary’s house.
The traingle is made from the given question and the shortest distance between Melinda's and Mary’s house will be the hypotenuse of the triangle.
So from the Pythagorean theorem:-
D²=6²+4²
D²=36+16
D²=100
D=10
Hence the shortest distance between Melinda’s house and Mary’s house will be equal to 10 blocks.
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