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In triangle ABC, AB squared + BC squared = AC squared and AB = BC. The angles of the triangle are
A30 degrees, 60 degrees, 90 degrees
B60 degrees, 60 degrees, 60 degrees
C45 degrees, 45 degrees, 90 degrees
D90 degrees, 45 degrees, 45 degrees
Answer & Solution
Correct answer: C. 45 degrees, 45 degrees, 90 degrees
1. Pythagoras converse: AB squared + BC squared = AC squared implies right angle at B.
2. AB = BC means the triangle is isosceles with the right angle between equal legs.
3. Other two angles each equal 45 degrees.
_Source: NCERT Class 10 Mathematics, Ch 6 "Triangles", §6.5_
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