Class 10 Maths · Triangles · NCERT Exercise 6.3 · Question 1

Triangles Medium

State which pairs of triangles in Fig. 6.34 are similar. Write the similarity criterion used by you for answering the question and also write the pairs of similar triangles in the symbolic form.

(i) $△ A B C$ and $△ P QR$ with $∠ A = 6 0^{\circ}, ∠ B = 8 0^{\circ}, ∠ C = 4 0^{\circ}$ and $∠ P = 6 0^{\circ}, ∠ Q = 8 0^{\circ}, ∠ R = 4 0^{\circ}$ .
(ii) $△ A B C$ with sides $2, 2.5, 3$ and $△ P QR$ with sides $4, 5, 6$ .
(iii) $△ L M P$ with sides $2.7, 2, 3$ and $△ D E F$ with sides $4, 5, 6$ .
(iv) $△ M N L$ with $M N = 2.5, M L = 5, ∠ M = 7 0^{\circ}$ and $△ QP R$ with $QP = 5, QR = 10, ∠ Q = 7 0^{\circ}$ .
(v) $△ A B C$ with $A B = 2.5, B C = 3, ∠ A = 8 0^{\circ}$ and $△ D E F$ with $D F = 5, E F = 6, ∠ F = 8 0^{\circ}$ .
(vi) $△ D E F$ with $∠ D = 7 0^{\circ}, ∠ E = 8 0^{\circ}$ and $△ P QR$ with $∠ Q = 8 0^{\circ}, ∠ R = 3 0^{\circ}$ .

Fig. 6.34 (i)

Fig. 6.34 (ii)

Fig. 6.34 (iii)

Fig. 6.34 (iv)

Fig. 6.34 (v)

Fig. 6.34 (vi)

Answer

4 similar pairs: (i) AAA, (ii) SSS, (iv) SAS, (vi) AAA; 2 not similar: (iii) And (v).

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Class 10 Maths · Triangles · NCERT Exercise 6.3 · Question 1

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