Advertisements
Advertisements
प्रश्न
Which of the following pairs of triangles are congruent? Give reasons
ΔABC;(∠B = 90°,BC = 6cm,AB = 8cm);
ΔPQR;(∠Q = 90°,PQ = 6cm,PR = 10cm).
Advertisements
उत्तर
In ΔABC and ΔPQR
∠B = ∠Q
BC = PQ
By Pythagoras theorem,
PR2 = PQ2 + QR2
102 = 62 + QR2
100 = 36 + QR2
QR = `sqrt(100 - 36)`
QR = `sqrt(64)` = 8cm
AB = QR
Therefore,
ΔABC ≅ ΔPQR ...(SAS criteria).
APPEARS IN
संबंधित प्रश्न
In a ΔPQR, if PQ = QR and L, M and N are the mid-points of the sides PQ, QR and RP
respectively. Prove that: LN = MN.
In a ΔABC, if AB = AC and ∠B = 70°, find ∠A.
Find the measure of each angle of an equilateral triangle.
In triangles ABC and PQR, if ∠A = ∠R, ∠B = ∠P and AB = RP, then which one of the following congruence conditions applies:
ABC is an isosceles triangle such that AB = AC and AD is the median to base BC. Then, ∠BAD =
In the pair of triangles given below, the parts shown by identical marks are congruent. State the test and the one-to-one correspondence of vertices by which the triangles in the pair are congruent, the remaining congruent parts.
In the given figure, prove that: ∆ ABD ≅ ∆ ACD
Prove that:
(i) ∆ ABC ≅ ∆ ADC
(ii) ∠B = ∠D
In the figure, ∠BCD = ∠ADC and ∠ACB =∠BDA. Prove that AD = BC and ∠A = ∠B.
Without drawing the triangles write all six pairs of equal measures in the following pairs of congruent triangles.
∆XYZ ≅ ∆MLN
