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Chapter 10: Q11. (page 536)

Determine whether a triangle with side lengths 20, 37.5, and 42.5 is a right triangle.

Short Answer

Expert verified

Yes, it is a right angle.

Step by step solution

01

Step 1. Given Information.

The given lengths are 20, 37.5, and 42.5.

02

Step 2. Formula used.

If a triangle is a right angle triangle then it will satisfy the following property.

hypotenuse2=base2+perpendicular2

Where, the hypotenuse is the longest side.

03

Step 3. Calculation.

Substituting the values in the formula.

42.52=202+37.521,806.25=400+1,406.251,806.25=1,806.25

Hence, it is a right angle triangle because it is satisfying the formula for a right angle triangle.

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