Angles opposite to equal sides of equal triangles are called _________?
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Step-by-step explanation:
Angles opposite to equal sides of an isosceles triangle are equal. The sides opposite to equal angles of a triangle are equal. SSS congruence rule.
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Answer:
Angles opposite to equal sides of equal triangles are called ___Isosceles______
Step-by-step explanation
- An isosceles triangle (/assliz/) in geometry is a triangle with two equal-length sides. It can be stated as having exactly two equal-length sides or at least two equal-length sides, with the latter definition containing the equilateral triangle as an exception. The isosceles right triangle, the golden triangle, the faces of bipyramids, and several Catalan solids are all examples of isosceles triangles.
- Isosceles triangles were first studied mathematically in Babylonian and Egyptian mathematics. Isosceles triangles are commonly employed in architecture and design, such as in building pediments and gables, and have been utilised as ornamentation since much earlier periods.
- The triangle's third side is referred to as the base, while the triangle's two equal sides are known as the legs. From the lengths of the legs and base, simple formulas may be used to determine the other parameters of the triangle, such as its height, area, and perimeter. Every isosceles triangle has an axis of symmetry that runs parallel to the base's bisector. The categorisation of the triangle as acute, right, or obtuse depends solely on the angle between its two legs because the two angles opposite the legs are equal and are always acute.
Therefore, an isosceles triangle has two equal sides as well as two equal angles. The Greek words iso (same) and skelos are the source of the name (leg). An equilateral triangle is one in which all of its sides are equal, whereas a scalene triangle is one in which none of its sides are equal.
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