Construct triangle ABC BC=6.5cm angle C=60 AB-AC = 2.5 cm.
Answers
Answer:
Step 1. Draw a line segment AB=7 cm
Step 2. At a point, A draw an angle of 60
∘
and extend the ray.
Step 3. Taking B as center and radius 6.5 cm draw an arc
intersecting the ray at C.
Step 4.Join B to C
Now measure AC using a ruler.
AC=5.7 cm
Step-by-step explanation:
Given that :In ∆ABC BC=6.5cm angle C=60 AB-AC = 2.5 cm.
To find: Construct triangle ABC
Solution:
Steps of construction:
- Draw a base line BC= 6.5 cm
- At C draw an angle of 60°,with the help of protector or compass an draw angle ray in downward direction as shown in attachment .
- Measure the length 2.5 cm on downward ray of 60° angle and mark that point X.
- Join BX and draw the perpendicular bisector of BX with the help of compass.
- The bisector of BX join CY at a point,mark that point A.
- Join B to A.
- Construction of ∆ABC has been done.
Verification:
Measure AB and AC.
*If the construction has been done using proper scale.
here in my construction
AB= 5.8 cm
AC= 3.3 cm
AB-AC= 5.8-3.3= 2.5 cm
which is desired.
Hope it helps you.
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