the base of a right angled triangle is 48 cm and its hypotenuse is 50cm then its area is
answer this using herons formula
need a reply fast
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ans is 168√6 or 409.92
Step-by-step explanation:
base = 48cm
hypotenuse = 50cm
(let height be x cm ),
So, height = x cm
Now, by Pythagoras theorem
(50)^2 = (48)^2 + (x)^2
2500 = 2304 + x^2
2500 - 2304 = x^2
196 = x^2
√196 = x
So , x = 14
Now , Area of triangle by herons formula :
S =( a + b + c )/2
S = ( 50 + 48 + 14 ) / 2
S = 112 / 2
S = 56
For. Area =
• √56 (56 - 50) (56 - 48) (56 - 14)
• √56 × 6× 42 × 12
• √2×2×2×2×2×2×3×3×7×7×3×2
• 2×2×2×3×7√3×2
• 168 √6 or
• 168 ×2.44 (value of √6 is 2.44)
ans : 409.92
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