The sides of triangle are 3 cm 4 cm and 5 cm The area in cm2 of the triangle formed by joining the m...........

Quantitative Aptitude ( CCS) Geometry

The sides of triangle are 3 cm, 4 cm and 5 cm. The area (in cm²) of the triangle formed by joining the mid-points of the sides of the tirangle is:

3/2

3/4

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Explanation:

= 1/2 × base × height
= 1/2 × 4 × 3 = 6 cm²
Applying the mid point theorem which says that if we join the mid points of the sides of a tirangle, the 4 triangles thus made will be equal in areas.
∴ The area of the triangle DEF.
= 1/4 × area of triangle ABC
So, Area of ΔDEF
= 1/4 × Area of triangle ABC
= 1/4 × 6 cm²
= 3/2cm²