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Please answer fast I need help-example-1

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Answer:

The correct answer is C. Isosceles; since a rhombus always has 4 equal sides, each triangle must have 2 equal sides.

A rhombus is a quadrilateral with all four sides equal in length. When a diagonal is drawn in a rhombus, it forms two congruent triangles. Since the rhombus has four equal sides, each triangle will have two equal sides. In other words, the two triangles are isosceles triangles.

Option A is incorrect, because a rhombus does not always have 2 acute angles. A rhombus can have acute, right or obtuse angles, and the angles of the rhombus are not related with the triangles formed by drawing a diagonal.

Option B is incorrect, because a rhombus does not always have 4 equal angles. A rhombus can have acute, right or obtuse angles, and the angles of the rhombus are not related with the triangles formed by drawing a diagonal.

Option D is incorrect, because a rhombus does not always have 2 obtuse angles. A rhombus can have acute, right or obtuse angles, and the angles of the rhombus are not related with the triangles formed by drawing a diagonal.

User Md Adilur Rashid
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The correct answer is C. Isosceles; since a rhombus always has 4 equal sides, each triangle must have 2 equal sides.

When a diagonal is drawn in a rhombus, it splits the rhombus into two congruent triangles. Since the diagonal bisects the rhombus, the two triangles are mirror images of each other.

In a rhombus, opposite sides are parallel and equal in length, which means that the two sides of the triangle that are formed by the diagonal are congruent. Therefore, each triangle is isosceles.

A rhombus is a quadrilateral with four equal sides, so we know that the triangles have two equal sides, but we cannot say anything about the other sides and angles, so we cannot say that it is acute, equilateral or obtuse.

User Wrm
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