Q. 15 B5.0( 3 Votes )

# Let us write whet

Answer :

(i) True

Let the sides of triangle be 3x, 4x and 5x.

By applying Pythagoras theorem to this triangle, we get,

(5x) ^{2} = (3x) ^{2} + (4x) ^{2}

⇒ 25x^{2} = 9x^{2} + 16x^{2}

⇒ 25x^{2} = (9 + 16)x^{2}

⇒ 25x^{2} = 25x^{2}

Thus, all triangles having sides in ratio 3:4:5 will form right angled triangle.

(ii) False

Given: Length of chord = 10 cm

Since, the chord subtends right angle at the centre, then the triangle is a right angled triangle.

Let the radius of circle be x.

By applying Pythagoras theorem to this triangle we get,

10^{2} = x^{2} + x^{2}

⇒ 100 = 2x^{2}

⇒ 2x^{2} = 100

⇒ x^{2} = 50

⇒ x = √50 = 2√5 cm

It is found that the radius of the circle must be 2√5 cm which mismatch from the radius given in question as 5 cm. Hence, it is false statement.

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