Question

Assertion (A): In ABC, AB = 4 cm, BC = 6 cm then area of ΔABC= `6sqrt3  "cm"^2`.

Reason (R): Height = `2sqrt3` cm.

Options

• Both A and R are true, and R is the correct reason for A.

• Both A and R are true but R is the incorrect reason for A.

• A is true but R is false.

• A is false but R is true.

Answer 1

Both A and R are true, and R is the correct reason for A.

Explanation:

Area = `1/2 xx 4 xx 6 sin(120°)`

`6sqrt3` cm²

Area = `1/2  "base" xx "height"`

= `2sqrt3` cm