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3. Please find the answer to the two blank boxes. Thanks!

Algebra
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Apr 20th, 2015

Slope of AC = m1 = 1/4

Slope of BC = m2 = - 4 / 1

Now if the triangle is right then

m1 * m2  must be - 1 So 

= m1 * m2

= 1/4 * - 4/1

= - 1

Hence the triangle is right.

Area = | [-2(-0-4) + 3(4 - 3) + 2(3 - 0)] / 2 |

Area = | [8 + 3 + 6] / 2 |

Area = | [17] / 2 |

Area = 8.5 square units

Option B Graph is right.

Sum of squares of  length of legs of triangle = AC^2 + BC^2

                                                                       = (√4^2 + 1^2)^2 + (√ -1^2 + 4^2)^2

                                                                       = (4^2 + 1^2) + (-1^2 + 4^2)

                                                                       = 16 + 1 + 1 + 16

                                                                       = 34

Square of hypotenuse = 5^2 + (-3)^2

                                     = 25 + 9

                                     = 34

Apr 20th, 2015

what is the area of the triangle?

Apr 20th, 2015

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