Question

Construct a triangle having a perimeter of 12.5 cm and angles in the ratio of 3:4:5.

Answer 1

Steps:
1.Draw AB =4 cm.
2.Construct 90° at A.Extend the ray AY.
3.C ut an arc of 3 cm on ray AY.Name it as C
4.Join BC.


Hence ABC is the required triangle ...

Answer 2

Solution:-

ΔABC, perimeter = 12.5 cm and A=∠45, B=∠60, C=∠75

Step-by-step explanation:

Given: Perimeter = 12.5 cm

ratio of angles= 3 : 4 : 5

Consider a triangle ABC whose perimeter i.e AB+BC+AC= 12.5 cm and ∠A:∠B:∠C=3:4:5

Let ∠A=3x,∠B=4x and ∠C=5x

In ΔABC , ∠A+∠B+∠C=180°

⇒3x+4x+5x=180°

12x=180°

⇒X=15°

⇒∠A=3×15=45°

⇒∠B=4×15=60°

⇒∠C=5×15=75°

Therefore in ΔABC, perimeter = 12.5 cm and ∠A=45°, ∠B=60°, ∠C=75°

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@GauravSaxena01