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Chapter 10: Q.1 (page 538)

Classify the triangle in Example 2 by its side lengths.

Short Answer

Expert verified

It is a scalene triangle.

Step by step solution

01

Step 1. Given Information.

Perimeter of the triangle is given as 65 cm.

Length of third side is given as 20 cm.

Length of first side is twice the length of the second side.

02

Step 2. Calculation.

Let the length of the first side be x.

Length of the second side will be 2x.

Hence, this gives us,

x+2x+20=65

Add both x together.

3x+20=65

Subtract 20 from both the sides.

3x+20-20=65-20

This gives us,

3x=45

Now, divide both sides by 3.

3x3=453

This will give us,

x=15

So, the length of first side is 15 cm.

Length of the second side is 2x, multiply 2 with 15.

2×15=30

So, the length of the second side is 30 cm.

Length of third side is given as 20 cm.

03

Step 3. Conclusion.

Since, all the three sides of the triangle are different it is a scalene triangle.

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Most popular questions from this chapter

Find the area of the trapezoid.

Tell whether the figure is a polygon. If it is a polygon, classify it and tell whether it is a convex or concave. If not, explain why.

Preparing for success: To prepare for success in this chapter, test your knowledge of these concepts and skills. You may want to look at the pages referred to in blue for additional review.

1. Vocabulary: Draw a right triangle. Label the hypotenuse and legs.

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