construct a triangle ABC in which angle B= 60 degree, angle C= 45 degree and the perimeter of the triangle is 10cm
Answers
Answer:
A triangle ABC in which angle B= 60 degrees, angle C= 45 degrees, and the perimeter of the triangle is 10cm has been constructed.
Step-by-step explanation:
Given: In ∆ABC
AB + BC + CA = 10 cm, ∠B = 60° and ∠C = 45°.
Required: To construct ∆ABC.
Steps of Construction :
1. Draw DE = 10 cm
2. At D, construct ∠EDP = of 60°= 30° and construct ∠DEQ at E which is of 45° = °C
3. Let EQ and DP connect at A.
4. A perpendicular bisector from AD to DE at B should be drawn.
5. Draw a perpendicular bisector of AE to meet DE at C.
6. Join AB and AC. Thus, ABC is the required triangle.
Thus, A triangle ABC in which angle B = 60 degrees, angle C= 45 degrees, and the perimeter of the triangle is 10cm has been constructed.
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