Find the altitude of an equilateral triangle of sides equal to 10 cm.
Find the altitude of an equilateral triangle of sides equal to 10 cm.
Aniket Singh , 7 Months ago
Grade
10 grade maths> Find the altitude of an equilateral trian...
1 AnswersAskiitians Tutor Team
To find the altitude of an equilateral triangle with sides measuring 10 cm, we can use a specific formula. The altitude (h) can be calculated using the formula:
Formula for Altitude
The altitude of an equilateral triangle can be determined by the formula:
h = (√3/2) × a
where a is the length of a side of the triangle.
Calculation Steps
- Substitute the side length into the formula:
- h = (√3/2) × 10
- h = 5√3
Final Result
Now, calculating the numerical value:
h ≈ 5 × 1.732 = 8.66 cm
Therefore, the altitude of the equilateral triangle is approximately 8.66 cm.
Approved Last Activity: 7 Months ago
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