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lbvjy [14]
2 years ago
8

Need help with this like right now, asap

Mathematics
2 answers:
Keith_Richards [23]2 years ago
7 0

Answer:

h = 5

Step-by-step explanation:

The value of h can be obtained by using area of triangle formula as well as distance formula.

A(\triangle ABC) =\frac{1}{2} \times AB\times AC \\  \\ 60 =  \frac{1}{2}  \times  \sqrt{ {( - 3 + 3)}^{2} + (9 + 6) ^{2}  }  \\  \times  \sqrt{ {(h + 3)}^{2} +  {(9 - 9)}^{2}  } \\  \\ 60  \times 2=   \sqrt{ {( - 0)}^{2} + (15) ^{2}  }  \\  \times  \sqrt{ {(h + 3)}^{2} +  {(0)}^{2}  } \\  \\ 120=   \sqrt{ 0 + (15) ^{2}  }   \times  \sqrt{ {(h + 3)}^{2} +  0  } \\  \\ 120=   \sqrt{ (15) ^{2}  }   \times  \sqrt{ {(h + 3)}^{2} }  \\  \\ 120 = 15(h + 3) \\  \\  \frac{120}{15}  = h + 3 \\  \\ 8 = h + 3 \\  \\ h = 8 - 3 \\  \\ h = 5

Gemiola [76]2 years ago
6 0

Answer:

h = 5

Step-by-step explanation:

area = 1/2 base × hight

base = 3 +h

hight =9 + 6 = 15

60 = 1/2 × 15 × (3+h)

120/15 = 3 + h

8 = 3 + h

h = 5

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