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ICSE Class 9 Answered

The perimeter of any triangle is 40 cm. if its two sides are 8 cm and 15 cm respectively then find it's area and also find the length of perpendicular, drawn of vertex to the longest side. 
Asked by anilkumar9460678776 | 25 Jul, 2019, 09:56: PM
answered-by-expert Expert Answer
The perimeter of any triangle is 40 cm. if its two sides are 8 cm and 15 cm respectively.
Let the remaining side be x cm.
x + 8 + 15 = 40
x = 17 cm
The sides of triangle are 7 cm, 8 cm and 15 cm.
Consider,
152 + 82 = 225 + 64 = 189 = 172 
Hence, triangle is right angled.
Area of triangle = 1/2 × 8 × 15 = 60 cm2
Now
1/2 × 17 × h = 60
h = 7.05 cm
Answered by Sneha shidid | 26 Jul, 2019, 09:48: AM
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