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Big Ideas Math: Modeling Real Life, Grade 8 View details

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Exercise 8 Page 417

Use the Pythagorean Theorem.

37in.

Practice makes perfect

We will use the Pythagorean Theorem to find the missing length of the triangle. a^2+b^2=c^2

In the formula, a and b are the legs and c is the hypotenuse of a right triangle. We have a triangle with legs that measure 12 inches and 35 inches.

Let's substitute these values into the formula. Remember that a side length is always non-negative, so we only need to consider the positive square root.

a^2+b^2=c^2

SubstituteII

a= 12, b= 35

12^2+ 35^2=c^2

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Solve for c

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144+1225=c^2

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1369=c^2