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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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Most popular questions from this chapter

Find the value of x.

Find the area of the parallelogram or trapezoid.

Find the value of x. Then classify the triangle by its angle measures.

Solve the proportion.

37=31z

Find the unknown base or height of the parallelogram.

A=40in.2,b=25in.,h=?炉
See all solutions

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