Question

Check whether the coordinates (7,10),(-2,5) and (3,-4) form an isosceles triangle

Answer 1

Step-by-step explanation:

yes this forms two triangles in between a quadrilateral

Answer 2

Step-by-step explanation:

Let the points be A (7,10),B(-2,5) and C(3,-4) .

$d = \sqrt{ {(x2 - x1)}^{2} + {(y2 - y1)}^{2} }$

AB=√(-2-7)²+(5-10)²=√(-9)²+(-5)²=√81+25=√106 unites.

BC=√(3-(-2))²+(-4-5)²=√5²+(-9)²=√25+81=√106 unites.

AC=√(3-7)²+(-4-10)²=√(-4)²+(-14)²=√16+196=√212=2√53units.

AB=BC.

The triangle is isosceles.

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