Advertisements
Advertisements
Question
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.
Solution
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)
APPEARS IN
RELATED QUESTIONS
In Fig, AD = CD and AB = CB.
(i) State the three pairs of equal parts in ∆ABD and ∆CBD.
(ii) Is ∆ABD ≅ ∆CBD? Why or why not?
(iii) Does BD bisect ∠ABC? Give reasons.
Consider the given pairs of triangles and say whether each pair is that of congruent triangles. If the triangles are congruent, say ‘how’; if they are not congruent say ‘why’ and also say if a small modification would make them congruent:
Consider the given pairs of triangles and say whether each pair is that of congruent triangles. If the triangles are congruent, say ‘how’; if they are not congruent say ‘why’ and also say if a small modification would make them congruent:
Construct a triangle XYZ with the given conditions.
XY = 6.4 cm, ZY = 7.7 cm and XZ = 5 cm
By which congruency criterion, the two triangles in the given figure are congruent?
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 given figure, it is given that LM = ON and NL = MO
- State the three pairs of equal parts in the triangles NOM and MLN.
- Is ∆NOM ≅ ∆MLN. Give reason?
Triangles DEF and LMN are both isosceles with DE = DF and LM = LN, respectively. If DE = LM and EF = MN, then, are the two triangles congruent? Which condition do you use? If ∠E = 40°, what is the measure of ∠N?
If ΔPQR and ΔSOR are both isosceles triangle on a common base OR such that P and S lie on the same side of QR. Are triangles PSQ and PSR congruent? Which condition do you use?
