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Byju's Answer
Standard VII
Mathematics
Area of an Isosceles Triangle
The sides of ...
Question
The sides of a triangle are 𝟑𝟓 𝒄𝒎, 𝟓𝟒 𝒄𝒎 and 𝟔𝟏 𝒄𝒎, respectively. The length of its longest altitude is:
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Solution
Given: a =35 cm, b = 54 cm, c = 61 cm
Step 1: Find the semi-perimeter.
s =
(
35
+
54
+
61
)
2
= 75 cm.
Step 2: Use Heron’s formula to calculate its area.
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Q.
The sides of a triangle are 35 cm, 54 cm and 61 cm respectively. The length of its longest altitude is
(a)
16
5
cm
(b)
10
5
cm
(c)
24
5
cm
(d) 28 cm