Which triangle is not possible to construct?
A a right isosceles triangle
B an acute equilateral triangle
C an obtuse scalene triangle
D a right equilateral triangle
Would it be A
An equilateral triangle has three 60 degree angles.
That leaves no corner for a 90 degree angle.
so would it be B
im so confused
But im pretty sure it cant be B tho because making an equilateral is possible with a right angle right?
NO,
To make D you need three 60 degree angles and a 90 degree angle.
Try to draw that.
Yes, the correct answer is A.
To determine which triangle is not possible to construct, you need to assess the characteristics and requirements for each type of triangle.
A right isosceles triangle is a triangle that has one right angle and two sides of equal length. Since it is isosceles, the remaining angle must also be equal to 45 degrees. To construct a right isosceles triangle, you would need a right angle (90 degrees) and two sides of equal length.
An acute equilateral triangle is a triangle with three angles less than 90 degrees, and all sides are of equal length. It is possible to construct an acute equilateral triangle by drawing three equal-length sides with angles measuring less than 90 degrees.
An obtuse scalene triangle is a triangle with one angle greater than 90 degrees and all sides of different lengths. It is possible to construct an obtuse scalene triangle by drawing three sides of different lengths and one angle measuring more than 90 degrees.
A right equilateral triangle is a triangle with one right angle and all three sides of equal length. However, it is not possible to have a triangle with both a right angle and all sides of equal length. Therefore, a right equilateral triangle cannot be constructed.
Therefore, the correct answer is A, a right isosceles triangle.