Advertisements
Advertisements
Question
Construct an isosceles triangle in which: XY = XZ, YZ = 5.5 cm and ∠X = 60°
Advertisements
Solution
In ΔXYZ,
XY = XZ ....(given)
c ∠XZY = ∠XYZ ....(i)
∠X = 60° ....(given)
Now, ∠X + ∠Y + ∠Z = 180°
60° + ∠Y + ∠Y = 180° ....[From (i)]
2∠Y = 120°
⇒ ∠Y = 60° = ∠Z
Steps:
1. Draw YZ = 5.5cm.
2. Construct ∠YZP = 60° and ∠ZYQ = 60°
3. Ray ZP and YQ meet at x.
Thus, XYZ is the required triangle.
APPEARS IN
RELATED QUESTIONS
In ∆ STU, l(ST) = 7 cm, l(TU) = 4 cm, l(SU) = 5 cm
Draw an equilateral triangle with side 6.5 cm.
Draw triangle with the measures given below.
In ∆FUN, l(FU) = 5 cm, l(UN) = 4.6 cm, m∠U = 110°
Construct a triangle of the measures given below.
In ∆ABC, l(AC) = 7.5 cm, m ∠ABC = 90°, l(BC) = 5.5 cm.
Construct ∆ABC such that m∠A = 55°, m∠B = 60°, and l(AB) = 5.9 cm.
In ∆LMN, l(LM) = 6.2 cm, m∠LMN = 60°, l(MN) = 4 cm. Construct ∆LMN.
Construct a triangle using the given data: PQ = 6.2cm, ∠P = 105° and ∠ = 45°
Construct a triangle using the following data: PQ + PR = 10.6 cm, QR = 4.8 cm and ∠R = 45°
Construct a triangle using the following data: DE + EF = 10.3 cm, EF = 6.4 cm and ∠E = 75°
Construct a ΔXYZ with YZ = 7.5 cm, ∠Y = 60° and ∠Z = 45°. Draw the bisectors of ∠Y and ∠Z. If these bisectors meet at O, measure angle YOZ.
