Question

Explain why all isosceles right triangles are similar, but not all scalene right triangles are simliar.

Answer 1

Answer:

All isosceles triangle  are similar because the three angles are the same for example when 2x= 90, x =45 degrees.

For all scalene right triangles are not similar  When x =45, then 90-x = 45

Step-by-step explanation:

All right isosceles triangle  are similar because the three angles are the same  

If one angle is 90, The other two that are equal must make up to 90 degrees  for example 2x = 90 , x =45 degrees  

Therefore, the three angles in an isosceles right triangle are always 90,45,45.

For the  scalene right triangle,  we  can have 90, 80, 10 angles triangle or a 90, 50, 40 triangle or 90, 30, 60 triangle.

Generally, we can also have this: 90, x, and 90-x angles so depending on x , the angles of different. 

Right scalene triangles will be not be similar, When x =45, then 90-x = 45

Answer 2

Two Right Angled Isosceles triangles -
two sides are same
and one angle 90 degree is same that is why they are always similar.
While Two right Angled Scalene triangles -
Only one angle 90 degree is same.
No side is same.
That is why they are not similar. 0 Comments