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 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 the right-angled ∆STU, hypotenuse SU = 5 cm and l(ST) = 4 cm.
Construct a triangle using the given data: DE = 6.5cm, EF = 5.8cm and DF = 4.2cm
Construct a triangle using the given data: XY = 5.2cm, XZ = 6.5cm and ∠X = 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.
Which tool is essential for drawing arcs while constructing a triangle using given side measurements?
For constructing △XYZ where XY = 6 cm, YZ = 5 cm, and XZ = 4 cm, which construction method should be used?
In Construction of triangle ABC where AB = 3 cm, BC = 5 cm, and ∠ABC = 60°, which side must be drawn first as the base?
For Construction of △ABC where AB = 4 cm, ∠A = 60°, and ∠B = 30°, what is the critical step used to locate vertex C?
In Construction of △ABC where AB = 3 cm, BC = 5 cm, and ∠ABC = 60°, which side must be drawn first as the base?
