Question

It is impossible for a triangle to be which of the following?
Both isosceles and acute
Both equilateral and acute
Both scalene snd acute
Both right and acute

Explain your answer

Answer 1

Right and acute because the right angle is 90 degrees and acute means less than 90

Answer 2

It is impossible for a triangle to be both right and acute.

What is triangle?

" Triangle is defined as the 2-dimensional closed figure with three sides , three vertices and three angles enclosed in it."

According to the question,

It is impossible for a triangle to be,

a. Both isosceles and acute : Isosceles means two sides of a triangle are equal and acute means measure of an angle is less than 90°.

It is possible for a triangle.

b. Both equilateral and acute : Equilateral means three sides of a triangle are equal and acute means measure of an angle is less than 90°.

It is possible for a triangle.

c. Both  scalene and acute : Scalene means three sides of a triangle are not equal and acute means measure of an angle is less than 90°.

It is possible for a triangle.

d. Both right and acute : Right triangle means one of the angle of a  triangle is equals to 90°and acute means measure of an angle is less than 90°. If it is right angle triangle it is not consider as acute angled triangle.

Hence, it is impossible for a triangle to be both right and acute.

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