Q: What solid figure has 4 faces that are triangles and 1 face that is a triangle?

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A pyramid.

Tetrahedron

There is a contradiction in your question. If the base has four equal sides then is it a square so not all the faces are Triangles. However if the base is a square and the rest of the faces are triangles then your object is a "Square-based Pyramid"

Triangular prisim. The three faces are rectangles, while the two bases are triangles.

Octogon

Related questions

A tetrahedron is a solid figure with four flat surfaces that are triangles. Each face of a tetrahedron is a triangle, making a total of four triangular faces in the shape.

a pyramid, in the sense that most people think of has a square base, with 4 triangle 'sides', which would be 5 faces. A regular tetrahedron has 4 equilateral triangles as faces.

Isosceles TetrahedronA solid with four faces is a tetrahedron. Each of the faces is a triangle. If all the triangles are congruent, you have an isosceles tetrahedron.

Pyramid.

A pyramid.

a pyramid

The answer is a pyramid.

A pyramid.

None it is impossible.

The figure is a pyramid and the base is a square.

pyramid

Tetrahedron