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Find the measure of each side of the triangle, then classify it by its sides. Leave the answer as a radical. J(-7,7) K(-9,1), L(-1,-1)

Find the measure of each side of the triangle, then classify it by its sides. Leave-example-1
User Gabr
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1 Answer

15 votes
15 votes

Answer

JK = √(68)

KL = √(68)

JL = √(72)

From this, we can see that two of the three sides of the triangle are of the same lengths, hence, we can confirm that this triangle is an isoscelles triangle.

Step-by-step explanation

The distance between two points with the coordinates (x₁, y₁) and (x₂, y₂) is given as

d = √[(x₂ - x₁)² + (y₂ - y₁)²]

Starting with J(-7, -7) and K(-9, 1)

x₁ = -7

y₁ = -7

x₂ = -9

y₂ = 1

d = √[(x₂ - x₁)² + (y₂ - y₁)²]

JK = √[(-9 - (-7))² + (1 - (-7))²]

JK = √[(-9 + 7)² + (1 + 7)²]

JK = √[(-2)² + (8)²]

JK = √[4 + 64]

JK = √(68)

K(-9, 1) and L(-1, -1)

x₁ = -9

y₁ = 1

x₂ = -1

y₂ = -1

d = √[(x₂ - x₁)² + (y₂ - y₁)²]

KL = √[(-1 - (-9))² + (-1 - 1)²]

KL = √[(-1 + 9)² + (-2)²]

KL = √[(8)² + (-2)²]

KL = √(64 + 4)

KL = √(68)

J(-7, -7) and L(-1, -1)

x₁ = -7

y₁ = -7

x₂ = -1

y₂ = -1

d = √[(x₂ - x₁)² + (y₂ - y₁)²]

JL = √[(-1 - (-7))² + (-1 - (-7))²]

JL = √[(-1 + 7)² + (-1 + 7)²]

JL = √[6² + 6²]

JL = √(36 + 36)

JL = √(72)

JK = √(68)

KL = √(68)

JL = √(72)

From this, we can see that two of the three sides of the triangle are of the same lengths, hence, we can confirm that this triangle is an isoscelles triangle.

Hope this Helps!!!

User Erlend
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