In - A B C- if A B-24 cm - B C-10 cm and A C-26 cm- then - B-

In nbsp; Delta;ABC, AB = 24 cm, BC = 10 cm and AC = 26 cm. Now, AB2 + BC2 = (24 cm)2 + (10 cm)2 = 576 cm2 + 100 nbsp;cm2 = 676 cm2 AC2 = (26 cm)2 = 67 ...

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Standard VII

Mathematics

Pythagoras Theorem

In Δ A B C, i...

Question

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

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Solution

In ΔABC, AB = 24 cm, BC = 10 cm and AC = 26 cm.

Now,

AB² + BC² = (24 cm)²+ (10 cm)² = 576 cm²+ 100 cm² = 676 cm²

AC² = (26 cm)² = 676 cm²

∴ AB² + BC² = AC²

In ΔABC, AB² + BC² = AC²

Using converse of Pythagoras theorem, we have

ΔABC is a right triangle right angled at B.

⇒ ∠B = 90º

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

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