Question

Construct a triangle with 3 cm base and sum of other two sides is 8cm and one base angle is 60º.

Answer 1

draw a base 3 cm then make a angle of 60 take the measure of 8cm and cut it from the both ends then join it

Answer 2

Step-by-step explanation:

Given the base BC of the triangle ABC be 3cm, one base angle ∠B = 600 and the sum of the other two sides be 8cm i.e, AB + AC = 8cm. STEPS : (i) Draw BC = 3cm (ii) At point B, draw PB so that ∠PBC = 600 (iii) From BP, cut BC = 8cm. (iv) Join D and C. (v) Draw perpendicular bisector of CD, which meets BD at point A. (vi) Join A and C. Thus, ABC is the required triangle. Proof : Since, OA is perpendicular bisector of CD = Given sum of the other two sides Thus, base BC and ∠B are draw as given and BD construct-a-triangle-with-3-cm-base-and-sum-of-other-two-sides-is-8cm-and-one-base-angle-is-60