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1. a triangle has sides 35, 54 and 61cm. find its area and the also find the smallest of its altitudes.?
Most Upvoted Answer
1. a triangle has sides 35, 54 and 61cm. find its area and the also fi...
Let say sides be a=35cm
b=54cm
c=61cm
s=2a+b+c=235+54+61
=2150
=75cm
Area of triangle =√s(s−a)(s−b)(s−c)
=√75(75−35)(75−54)(75−61)
=√75×40×21×14
=√25×3×4×10×7×3×7×2
=√5×5×3×3×2×2×7×7×2×2×5
=5×3×2×7×2√5
=939.15cm2
Smallest altitude will be the altitude on greatest side
So, Area of triangle =939.15
⇒21×61×h=939.15
h=30.8cm(approx).
HOPE ITS HELPFUL!!
THANKU!!
b=54cm
c=61cm
s=2a+b+c=235+54+61
=2150
=75cm
Area of triangle =√s(s−a)(s−b)(s−c)
=√75(75−35)(75−54)(75−61)
=√75×40×21×14
=√25×3×4×10×7×3×7×2
=√5×5×3×3×2×2×7×7×2×2×5
=5×3×2×7×2√5
=939.15cm2
Smallest altitude will be the altitude on greatest side
So, Area of triangle =939.15
⇒21×61×h=939.15
h=30.8cm(approx).
HOPE ITS HELPFUL!!
THANKU!!
Community Answer
1. a triangle has sides 35, 54 and 61cm. find its area and the also fi...
Given:
A triangle with sides 35 cm, 54 cm, and 61 cm.
Calculating the Area:
To calculate the area of a triangle, we can use Heron's formula. Heron's formula states that the area (A) of a triangle with sides a, b, and c can be found using the formula:
A = √(s(s-a)(s-b)(s-c))
where s is the semi-perimeter of the triangle, defined as:
s = (a + b + c) / 2
Let's calculate the semi-perimeter first:
s = (35 + 54 + 61) / 2 = 75
Now, we can calculate the area:
A = √(75(75-35)(75-54)(75-61))
A = √(75 * 40 * 21 * 14)
A = √(441000)
A ≈ 663.325 cm²
Calculating the Smallest Altitude:
The altitude of a triangle is a line segment perpendicular to the base, and it can be used to find the height of the triangle. In this case, we need to find the smallest altitude.
To find the smallest altitude, we can use the formula:
Altitude = (2 * Area) / Base
Let's calculate the smallest altitude:
Altitude = (2 * 663.325) / 35
Altitude ≈ 37.81 cm
Conclusion:
The area of the triangle is approximately 663.325 cm², and the smallest altitude is approximately 37.81 cm.
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1. a triangle has sides 35, 54 and 61cm. find its area and the also find the smallest of its altitudes.?
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1. a triangle has sides 35, 54 and 61cm. find its area and the also find the smallest of its altitudes.? for Class 9 2024 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about 1. a triangle has sides 35, 54 and 61cm. find its area and the also find the smallest of its altitudes.? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 1. a triangle has sides 35, 54 and 61cm. find its area and the also find the smallest of its altitudes.?.
1. a triangle has sides 35, 54 and 61cm. find its area and the also find the smallest of its altitudes.? for Class 9 2024 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about 1. a triangle has sides 35, 54 and 61cm. find its area and the also find the smallest of its altitudes.? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 1. a triangle has sides 35, 54 and 61cm. find its area and the also find the smallest of its altitudes.?.
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