# 21. The base angles of an isosceles triangle are congruent 22. If two angles of a triangle are congr...

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### Tanong

21. The base angles of an isosceles triangle are
congruent
22. If two angles of a triangle are congruent, then the triangle is
isosceles
23. The longest side in a triangle is
opposite the largest angle.
24 A median of a triangle
bisects a side of the triangle
25. The median, angle bisector, altitude, and perpendicular bisector from each vertex of an equiangular trange
coincide​

### Mga sagot sa #1 sa Tanong: 21. The base angles of an isosceles triangle arecongruent22. If two angles of a triangle are congruent, then the triangle isisosceles23. The longest side in a triangle isopposite the largest angle.24 A median of a trianglebisects a side of the triangle25. The median, angle bisector, altitude, and perpendicular bisector from each vertex of an equiangular trangecoincide​

21. Sal proves that the base angles in isosceles triangles are congruent, and conversely, that triangles with congruent base angles are isosceles. He also proves that the perpendicular to the base of an isosceles triangle bisects it.

22. So here once again is the Isosceles Triangle Theorem: If two sides of a triangle are congruent, then angles opposite those sides are congruent. … The Converse of the Isosceles Triangle Theorem states: If two angles of a triangle are congruent, then sides opposite those angles are congruent.

23. The longest side in a triangle is opposite the largest angle, and the shortest side is opposite the smallest angle. Triangle Inequality: In any triangle, the sum of the lengths of any two sides is greater than the length of the third side. Pythagorean Theorem: In a right triangle with hypotenuse c, a2+b2=c2.

24. In geometry, a median of a triangle is a line segment joining a vertex to the midpoint of the opposite side, thus bisecting that side. … In the case of isosceles and equilateral triangles, a median bisects any angle at a vertex whose two adjacent sides are equal in length. The concept of a median extends to tetrahedra.

25. Every altitude is the perpendicular segment from a vertex to its opposite side … Every triangle has three angle bisectors.

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