Question

The ratio of the sides of the triangle to be constructed with the corresponding sides of the given triangle is known as​

Answer 1

The ratio of the sides of the triangle to be constructed with the corresponding sides of the given triangle is known as their "scale factor".

Step-by-step explanation:

The ratio of the sides of the triangle to be constructed with the corresponding sides of the given triangle is known as their scale factor.

Hence, the ratio of the sides of the triangle to be constructed with the corresponding sides of the given triangle is known as their scale factor.

Answer 2

Scale Factor

Step-by-step explanation:

The ratio of the sides of the triangle to be constructed with the corresponding sides of the given triangle is known as their scale factor.

Construction Of A Triangle Similar To A Given Triangle

• Steps of Construction when m < n:

(i) Construct the given triangle ABC by using the given data.

(ii) Take any one of the three sides of the given triangle as the base. Let us suppose base of the triangle as AB.

(iii) At one end, say A, of base AB. Construct an acute angle Construction Of A Triangle Similar To A Given Triangle below the base AB.

(iv) Along AX mark of n points $A_1, A_2,A_3$,.....An such that $AA_1 = A_1A_2 = ..... = A_{n-1}A_n.$

(v) Join $A_n B$.

(vi) Draw $A_mB$’ parallel to An B which meets AB at B’.

(vii) From B’ draw B’ C’ ║CB meeting AC at C’.

Triangle AB’C’ is the required triangle each of whose side is $(\frac {m}{n})^{th}$ of the corresponding side of triangle ABC.