What is the perimeter of the triangle below, to the nearest tenth of an inch, if each square on the grid measures 8 inches on each side?

slaggingV

slaggingV

Answered question

2021-01-31

What is the perimeter of the triangle below, to the nearest tenth of an inch, if each square on the grid measures 8 inches on each side?

Answer & Explanation

Usamah Prosser

Usamah Prosser

Skilled2021-02-01Added 86 answers

We have a right triangle with legs measuring 2 units and 4 units. Using Pythagorean Theorem, the missing length (hypotenuse), x is:
22+42=x2
4+16=x2
20=x2
20=x
So, the perimeter in terms of the number of units is:
P=2+4+20=6+20
Since 1 unit = 8 inches, the perimeter is:
P=8(6+20)
P83.8 inches

Jeffrey Jordon

Jeffrey Jordon

Expert2021-08-10Added 2605 answers

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