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
Draw an equilateral triangle with side 6.5 cm.
Draw triangle with the measures given below.
In ∆MAT, l(MA) = 5.2 cm, m∠A = 80°, l(AT) = 6 cm
Construct a triangle of the measures given below.
In ∆EFG, l(EG) = 6 cm, m∠F = 65°, m∠G = 45°
Construct a triangle of the measures given below.
Construct a triangle of the measures given below.
In the right-angled ∆STU, hypotenuse SU = 5 cm and l(ST) = 4 cm.
Construct ∆ABC such that m∠A = 55°, m∠B = 60°, and l(AB) = 5.9 cm.
Construct a triangle using the given data: BC = 6.0cm, ∠B = 60° and ∠C = 45°
Construct a triangle using the given data: DE = 5cm, ∠D = 75° and ∠E = 60°
Construct an isosceles triangle in which: PQ = QR, PR = 4.5 cm and ∠R = 60°
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.
