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1 answer:
<u>Answer:</u>
<h2>A = 15 u²</h2>
<u>Explanation:</u>
according to the coordinates the triangles is right at the pair (2, -3)
the area of the triangle = height × base × 1/2
the <u>height</u> is the line passing through the pairs (-1, 6) and (2, -3)
h² = (2-(-1))²+(-3-6)²
h² = 3² + (-9)²
h² = 9 + 81
h² = 90
h = √90
the <u>base</u> is the line passing through the pairs (5, -2) and (2, -3)
b² = (2-5)²+(-3-(-2))²
b² = 3² + (-3+2)²
b² = 9 + 1
b² = 10
b = √10
A = h×b×1/2
A = √90×√10×1/2
A = √900×1/2
A = 30×1/2
A = 15 u²
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