A triangle ABC has been divided into four smaller triazzgles P Q It S wbose peztzoeteza aze 16 cm 12...........

Quantitative Aptitude (CDS) Geometry

A triangle ABC has been divided into four smaller triazzgles P, Q, It, S wbose peztzoeteza aze 16 cm, 12 cm, 4 cm aod 12 cmo respectively. P, R and S contain the vertices A, B and C respectively. What is the perimeter of the triangle ABC ?

This questions was previously asked in

2023 CDS -1 MATH

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Explanation:

Given

Perimeter of triangle P = 16 cm
Perimeter of triangle R = 4 cm
Perimeter of triangle S = 12 cm
Perimeter of triangle Q = 12 cm

Solution

Required perimeter = (Perimeter of P + Perimeter of R + Perimeter of S) - Perimeter of Q
So, Required perimeter = (16 cm + 4 cm + 12 cm) - 12 cm = 32 cm - 12 cm = 20 cm.
Therefore, the perimeter of the triangle ABC is indeed 20 cm.