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crodriguez87
13.05.2021 •
Mathematics
AXYZ has vertices X(-4,2), Y(4.2), and Z(0, - 1). Is AXYZ scalene, isosceles, or equilateral? Is AXYZ scalene, isosceles, or equilateral?
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Ответ:
Isosceles triangle.
Step-by-step explanation:
In order to determine the nature of the triangle, we will need to get the sides XY, XZ and YZ using the distance formula;
For XY;
X(-4,2), Y(4.2)
XY = √(2-2)²(4-(-4)²)
XY = √(4+4)²
XY = √8²
XY = 8
For XZ;
X(-4,2), Z(0, - 1)
XZ = √(-1-2)²(0-(-4))²
XZ = √(-3)²+4²
XZ = √9+16
XZ = √25
XZ = 5
For XZ;
Y(4.2), Z(0, - 1)
YZ = √(-1-2)²(0-(4))²
YZ = √(-3)²+(-4)²
YZ = √9+16
YZ = √25
YZ = 5
Since XZ = YZ = 5, this shows that two sides are equal. Hence the triangle is an isosceles triangle.
NB: Isosceles triangle only have two of its sides and angles equal
Ответ:
15
Step-by-step explanation:
10x - 23 + 10x - 23 + 106 = 360
20x + 60 = 360
20x = 300
x = 15