In △ ABC, BD̅ ⊥ AC̅ , intersecting AC̅ at D. Also, BD = 12 cm. If m( AD̅ ) = 6 cm and m( CD̅ )4 cm, find the area (in cm²) of △ ABC.

In △ ABC, BD̅ ⊥ AC̅ , intersecting AC̅ at D. Also, BD = 12…

In $\triangle$ ABC, $\bar{BD}$ $\perp$ $\bar{AC}$ , intersecting $\bar{AC}$ at D. Also, BD = 12 cm. If m( $\bar{AD}$ ) = 6 cm and m( $\bar{CD}$ )4 cm, find the area (in cm²) of $\triangle$ ABC.

Show answer & explanation

Correct answer: D

Explanation

The correct answer is option 4 i.e. 42°.

Base (AC) = 6 + 4 = 10 cm

Height (BD) = 12 cm

Area = (1/2) × Base × Height = (1/2) × 10 × 12 = 60 cm²

Therefore, the area of ΔABC is 60 cm².

SSC CHSL 2023 PYQ — Question 66