Question

The correct answer will get brainliest!!
Classify this triangle by its sides and angles.

A.) acute and isosceles, but not equilateral

B.) obtuse and isosceles, but not equilateral

C.) obtuse and equilateral

D.) acute and equilateral

Answer 1

${ \qquad\qquad\huge\underline{{\sf Answer}}}$

$\textsf{As per the given figure, observations can be made}$ $\textsf{that : }$

$\textbf{1.) Two sides of the given triangle are equal.}$

Conclusion :

• $\textsf{It's an }$$\textbf{Isosceles}$$\textsf{triangle}$

$\textbf{2.) All the three angles are less than 90° }$

Conclusion :

• $\textsf{ it's an}$$\textbf{ acute }$$\textsf{angled triangle }$

$\textsf{So, to sum it up, it can be said that the }$$\textsf{triangle is both Isosceles and acute }$$\textsf{angled triangle.}$

Answer : A.) acute and isosceles, but not equilateral

Answer 2

Answer:

Acute and Isosceles, but not equilateral.

Step-by-step explanation:

First, let us address equilateral. Equilateral triangles assumes by definition that all triangle sides are symmetrical (60° in measurement), and that all side lengths are congruent (the same length). As shown in the picture, it is not a equilateral triangle, as there is only a pair of congruent sides.

Therefore, the given triangle is a isosceles triangle, which by definition calls for having two sides of equal length, and two equal angles.

Next, we are solving for whether or not the triangle angles are obtuse or acute. Acute angles measure less than 90° (The measurement of a right angle). Obtuse angles, on the other hand, measure more than 90°. In this case, all sides are less than 90°, per definition of isosceles triangle.

Therefore, the given triangle is acute.

Your answer is Acute and isosceles, but not equilateral.