Isosceles Triangles — Formula Sheet
ICSE · Class 9 · Mathematics
8 formulas from Isosceles Triangles (ICSE Class 9 Mathematics) on one page, grouped by topic. Part of the ICSE Class 9 Mathematics syllabus.
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Formulas and Key Relations
Main Theorems
If two sides of a triangle are equal, the angles opposite to them are also equal.
If two angles of a triangle are equal, the sides opposite to them are also equal.
Solved-Pattern Results
angle BAD : angle ADB = 3 : 1
Ext. angle CEA = the sum of two interior opposite angles = 32° + 36° = 68°
a + 80° + 80° = 180°
angle OBC = angle OBA = angle OCB = angle OCA
Important theorem proofs
In Theorem 1, angle ADB = angle ADC = 90° because AD is perpendicular to BC.
In Theorem 1, AB = AC, AD = AD, and angle ADB = angle ADC.
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