Answer:
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
Step-by-step explanation:
3x+5=44
3x=44-5
3x=39
x=39÷3
x=13
Area of figure is the total number of 1 square unit in the figure. For a rectangle, it is calculated from the product of its length and its width. For this case, we are given:
Width = x
Length = 7x
Area = x(7x) = 7x^2
The coefficient 7 would mean that the length is 7 times longer than the width, x.