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In ΔABC, if AB = 24 cm, BC = 10 cm and AC = 26 cm, then ∠B = ______.

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Question

In ΔABC, if AB = 24 cm, BC = 10 cm and AC = 26 cm, then ∠B = ______.

Fill in the Blanks
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Solution

In ΔABC, if AB = 24 cm, BC = 10 cm and AC = 26 cm, then ∠B = 90°.

Explanation:

AC2 = 262 = 676 

And AB2 + BC2 = 242 + 102

= 576 + 100

= 676

So AB2 + BC2 = AC2 and the triangle is right-angled at B.

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Chapter 7: Triangles - FILL IN THE BLANK TYPE QUESTIONS (FBQs) [Page 7.103]

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R.D. Sharma Mathematics [English] Class 10
Chapter 7 Triangles
FILL IN THE BLANK TYPE QUESTIONS (FBQs) | Q 11. | Page 7.103
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