Question

Enlarge the triangle by scale factor 3 using the blue dot
as the centre of enlargement.​

Answer 1

For enlarging you need to know the centre and the object that’s given so according to me this is the answer

Answer 2

The new sides of the enlarged triangle are:

New base = 3

New height = 6

New slant height = 3√5

From the given right triangle, we can see that;

Base = 1 unit (1 square box)

Height = 2 units

Slant side = x

Get the slant side using Pythagoras theorem:

$x^2 = 2^2+1^2\\x^2=4+1\\x^2=5\\x=\sqrt{5}$

Enlarging by a factor 3 means multiplying the sides by 3

New base = 1 × 3 = 3

New height = 2 ×3 = 6

New slant height = √5 × 3 = 3√5

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