Answer:
Explanation:
Given the coordinates D(-2, 3), E(5, 5), F(-4, 10), to find the measure of the sides, we will use the formula for calculating the distance between 2 points as shown:
D = √(y2-y1)²+(x2-x1)²
For DE;
D(-2, 3), E(5, 5),
DE = √(5-3)²+(5-(-2))²
DE = √2)²+7²
DE = √4+49
DE = √53
For DF;
D(-2, 3), F(-4, 10)
DF = √(10-3)²+(-4-(-2))²
DF = √7²+(-2)²
DF = √49+4
DF = √53
For EF;
E(5, 5) F(-4, 10)
EF = √(10-5)²+(-4-5)²
EF = √5²+(-9)²
EF = √25+81
EF = √106
Since two he sides DE and DF are equal, this shows that the triangle is an isosceles triangle. An isosceles triangle is a triangle that has two of its sides and angle equal