can you please tell the answer
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62.75 cm² ans
Step-by-step explanation:
IN ∆ EAD
area of ∆EAD = 1/2 base × height
= 1/2 × 12 × 4.5
= 27 cm ²
IN ∆ACD
=1/2 × base × height
=1/2 × 12 × 5
= 30 cm²
IN ∆ABC
To find base AC
Use Pythagoras theorem in ∆ ACD
= (AC)² = (AD )² + (DC)²
=(AC)² =(12)² + (5)²
=(AC)² = 144 + 25
(AC)² = 169
AC = 13 cm
area of ∆ ABC
=1/2 × base × height
=1/2 × 13 × 5
= 35.75 cm²
SUM OF ar(∆ ABC) + ar(∆ACD) + ar(∆EAD)
== 35.75+30+27
= 62.75 cm²
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