Find the area of triangle if its sides are. (i)17cm,25cm and 26cm
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Given :
- Measures of sides = 17cm, 25 and 26 cm
To find :
- the area of the triangle
Steps :
- Here, before finding the area, we have to find the Semi-perimeter of the sides.
- Then, we have to use the "Heron's Formula" to find the Area.
Solution :
⇒ Let's find the Semi-Perimeter.
Semi-Perimeter = a + b + c/2
= 17 + 25 + 26/2
= 68/2
= 34
⇒ Now, let's use the "Heron's Formula" to find the Area.
Heron's Formula = √s (s - a) × (s - b) × (s - c)
= √34 × (34 - 17) × (34 - 25) × (34 - 26)
= √(34) × (17) × (9) × (8)
= √(34 × 17 × 9 × 8)
= √41616
= 204
Therefore, the Area of triangle is 204 cm².
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