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How to Calculate Triangles Isosceles

What is Triangles Isosceles?

An isosceles triangle has two equal sides and two equal base angles. The perpendicular from the apex to the base also bisects the base (axis of symmetry). Isosceles triangles appear frequently in architecture, art, and engineering.

Formula

Height h = √(a² − (c/2)²) where c is the base
h
√(a² − (c/2)²) where c is the base — √(a² − (c/2)²) where c is the base

Step-by-Step Guide

  1. 1Two equal sides (legs): a = b
  2. 2Height h = √(a² − (c/2)²) where c is the base
  3. 3Area = ½ × base × height
  4. 4Apex angle = 180° − 2 × base angle

Worked Examples

Input
Legs = 10cm, base = 12cm
Result
Height = 8cm · Area = 48cm²
h = √(100−36) = √64 = 8

Frequently Asked Questions

What is Isosceles Triangle Has Two Equal Sides And Two Equal Base Angles?

An isosceles triangle has two equal sides and two equal base angles. The perpendicular from the apex to the base also bisects the base (axis of symmetry)

How accurate is the Isosceles Triangle Has Two Equal Sides And Two Equal Base Angles calculator?

The calculator uses the standard published formula for isosceles triangle has two equal sides and two equal base angles. Results are accurate to the precision of the inputs you provide. For financial, medical, or legal decisions, always verify with a qualified professional.

What units does the Isosceles Triangle Has Two Equal Sides And Two Equal Base Angles calculator use?

This calculator works with inches. You can enter values in the units shown — the calculator handles all conversions internally.

What formula does the Isosceles Triangle Has Two Equal Sides And Two Equal Base Angles calculator use?

The core formula is: Two equal sides (legs): a = b. Each step in the calculation is shown so you can verify the result manually.

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