Question

he length of the sides of the triangle ABC are AB=20cm,BC=16 cm and AC=12 cm. Which of these is a right angle? *
4 points
∠A
∠B
∠C
ΔABC is not a right-angled triangle

Answer 1

Answer:

The length of the sides of the triangle ABC are AB=20cm,BC=16 cm and AC=12 cm.

To find :- Which is right angle.

Solution :-

After considering all possibilities I came to conclusion.

AB^2 = BC^2 + AC^2 .......(Pythagoras theorem)

20^2 = 16^2 + 12^2

400 = 256 + 144

400 = 400.

Answer :- /_C is right angle.

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Answer 2

∠C is the right angle of triangle ABC.

The lengths of the sides of the triangle ABC are AB = 20cm , BC = 16cm and AC = 12cm.

According to Pythagoras' theorem,

• It states that the square of the hypotenuse is the sum of square of base and altitude of a right-angled triangle.
• Means, If a ΔABC is a triangle right angled at B, then AC² = AB² + BC².

Here,

AB = 20 cm , BC = 16 cm and AC = 12 cm

⇒ AB² = 20² = 400 cm²

⇒ BC² = 16² = 256 cm²

⇒ AC² = 12² = 144 cm²

We see, AB² = 400 cm² = 256cm² + 144 cm² = BC² + AC².

∴ AB is hypotenuse of ΔABC

∴ C is right-angled of ΔABC.

Therefore ∠C is the right angle of triangle ABC.

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