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प्रश्न
In the following pairs of triangles of figure, the lengths of the sides are indicated along the sides. By applying SSS congruence criterion, determine which triangles are congruent. If congruent, write the results in symbolic form.
उत्तर
In ∆STU, By Pythagoras theorem,
TU2 = (10.5)2 – 52 = 135.25
And In ∆PQR, QR2 = (10.5)2 – 52 = 135.25
∴ TU2 = QR2 ⇒ TU = QR ......(i)
In ∆STU and ∆POR,
ST = PQ = 5 cm ......(Given)
SU = PR = 10.5 cm ......(Given)
TU = QR ......(From (1)
∆STU ≅ ∆PQR ......(SSS criterion)
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संबंधित प्रश्न
In triangles ABC and PQR, AB = 3.5 cm, BC = 7.1 cm, AC = 5 cm, PQ = 7.1 cm, QR = 5 cm and PR = 3.5 cm. Examine whether the two triangles are congruent or not. If yes, write the congruence relation in symbolic form.
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In the following pairs of triangles of figure, the lengths of the sides are indicated along the sides. By applying SSS congruence criterion, determine which triangles are congruent. If congruent, write the results in symbolic form.
In the following pairs of triangles of figure, the lengths of the sides are indicated along the sides. By applying SSS congruence criterion, determine which triangles are congruent. If congruent, write the results in symbolic form.
In the following pairs of triangles of figure, the lengths of the sides are indicated along the sides. By applying SSS congruence criterion, determine which triangles are congruent. If congruent, write the results in symbolic form.
