Q. 33.7( 7 Votes )
Find the area of
Answer :
Given: Side 1 = a (let) = 18 cm
Side 2 = b (let) = 24 cm
Side 3 = c (let) = 30 cm
We know that,
Area of a scalene triangle = √(s(s-a)(s-b)(s-c))
Where,
⇒ s = 36 cm
Now,
Area of a scalene triangle = √(36cm × (36-18)cm × (36-24)cm × (36-30)cm)
= √(36cm × 18cm × 12cm × 6cm)
= √46656 cm2
= 216 cm2
Clearly,
Length of smallest side = 18 cm
Now,
We know that,
Area of a triangle = 1/2 × Base × Height
⇒ 216 cm2= 1/2 × 18 cm × Height
⇒ 216 cm2= 9 cm × Height
⇒ Height = 24 cm
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