the length of an altitude from the vertex of a right angle in a triangle having legs 6 and 8 is ___ units
1. 10
2. 6
3. 4√3
4. 4√5
5. 5
Other: ???
Answers
Given : Right angle triangle having two legs as 6 * 8
To find : Length of an altitude from the vertex of right angle
Solution:
Right angle triangle having two legs as 6 * 8
so hypotenuse = √6² + 8² = 1 0 unit
Area of triangle = (1/2) * 6 * 8 = 24 sq units
Area of triangle = (1/2) * hypotenuse * altitude = (1/2) * 10 * altitude
= 5 * altitude
5 * altitude = 24
=> altitude = 24/5
=> altitude = 4.8 unit
length of an altitude from the vertex of a right angle in a triangle having legs 6 and 8 is 4.8 units
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