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Q.22

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Pre-algebra
Found in: Page 540
Pre-algebra

Pre-algebra

Book edition Common Core Edition
Author(s) Ron Larson, Laurie Boswell, Timothy D. Kanold, Lee Stiff
Pages 183 pages
ISBN 9780547587776

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Short Answer

Plot the points A6,3, B-3,9, and C-3,-3 in a coordinate plane. Connect the points to form a triangle. Use the distance formula to find the side lengths. Then classify the triangle by its side lengths.

The side length measures are10.82, 12, 10.82. The triangle is an isosceles triangle.

See the step by step solution

Step by Step Solution

Step 1. Given Information.

Points of each side is given as A6,3, B-3,9, andC-3,-3.

Step 2. Calculation.

Plot the points to form a triangle.

Distance between the two points x1,y1 and x2,y2 on a co-ordinate plane is given by the formulax2-x12+y2-y12.

Find the length of AB using the above formula.

AB=-3-62+9-32

Subtract the numbers inside the bracket.

AB=92+62

To find the square multiply each number with the same number.

AB=81+36

Now add both the numbers.

AB=117

The square root of 117 is approximately10.82.

So, side length of AB is10.82.

Find the length of BC using the distance formula.

BC=-3--32+-3-92

Now subtract the numbers inside the bracket.

BC=02+122

To find the square multiply each number with the same number.

BC=0+144

Add both the numbers.

BC=144

The square root of 114 is 12.

So, side length of BC is 12.

Find the length of CA using the distance formula.

CA=-6--32+-3--32

Now subtract the numbers inside the bracket.

CA=92+62

To find the square multiply each number with the same number.

CA=81+36

Add both the numbers.

CA=117

The square root of 117 is approximately10.82.

So, the side length of CA is10.82.

Step 3. Conclusion.

The side lengths of the triangle are 10.82, 12, and10.82.

Since two sides are same the triangle formed is as isosceles triangle.

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