In triangle PQR, PQ = 5 cm and PR = 6 cm, which of the following can't be the third side?

3 cm

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4 cm

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21 cm

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9 cm

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Q. In

△

PQR, PQ = 4 cm and QR = 6 cm. What can be the length of the third side PR. Find the minimum and maximum possible lengths of side PR.

Constructa $Δ P Q R,$ in which PQ = 6 cm, QR = 7 cm and PR = 8 cm. Then, construct another triangle whose sides are $\frac{4}{5}$ to,of the corresponding sides of $Δ P Q R$ .

Construct a triangle PQR in which PQ = 6.4 cm, PR = QR = 5 cm

Q. Construct a ∆PQR, in which PQ = 6 cm, QR = 7 cm and PR = 8 cm. Then, construct another triangle whose sides are

\frac{4}{5}

times the corresponding sides of ∆PQR. [CBSE 2013, 14]

Q. (i) Given are 4 sets of triangle constructions. Identify which of these following triangles cannot be constructed. Give reasons for each of them.

1.

∠

A = 60

^{\circ}

, AB= 4 cm, AC = 5 cm
2. PQ = 4 cm, QR = 5 cm, RP = 11 cm
3. D = 90

^{\circ}

, EF = 13 cm, DE = 5 cm
4. S = 90

^{\circ}

, T = 120

^{\circ}

, ST = 5 cm

(ii) Also, construct a right angled

△

PQR, where measure of

∠ Q = 90^{\circ},

QR = 8 cm and PR = 10 cm.

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