Question

in triangle abc, p and q are the midpoints of ab and ac respectively. if pq+bc=8.4cm and ab+ac=20.5 cm. then find peremeter of triangle abc​

Answer 1

Answer:

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Answer 2

The perimeter of the triangle Δ abc will be 26.1 cm.

Step-by-step explanation:

Since p and q are the midpoints of ab and ac sides of Δ abc, then line segment pq will be parallel to third side bc and will be half in the length of bc.

Now, given that, pq + bc = 8.4 cm.

⇒ $\frac{1}{2}bc + bc = 8.4$

⇒ bc = 5.6 cm.

Now, given that ab + ac = 20.5

⇒ ab + bc + ca = 20.5 + 5.6 = 26.1 cm.

Therefore, the perimeter of the triangle Δ abc will be 26.1 cm. (Answer)