f + = and − = , prove that 2 + 2 = 2 + 2
Answers
Answer:
Answer:
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Question
Find the area of a triangle, two sides of which are 18cm and 10cm and the perimeter is 42 cm :
Answer :-
Given that,
Two sides of triangle are 18 cm and 10 cm.
Perimeter of triangle is 42 cm
Let, third side of triangle be x .
So,
⟶ Perimeter = 18 + 10 + x
⟶ 42 = 28 + x
⟶ 42 - 28 = x
⟶ x = 14
Third side of triangle is 14 cm.
Now,
s = 42/2
s = 21
Semi-perimeter is 21 cm.
Area of traingle :
⟶ √21 × (21 -18)(21 -14)(21 - 10)
⟶ √21 × 3 × 7 × 11
⟶ √3 × 7 × 3 × 7 × 11
⟶ 3 × 7 √11
⟶ 21 × √11
Put √11 = 3.316
⟶ 21 ×3.316
\longrightarrow \blue{\boxed{\bold{69.639}}\bigstar}⟶
69.639
★
★
Area of triangle is 69.636 cm²
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Formulas used:-
• Perimeter of triangle = Sum of all sides
• Heron's formula that is
Area of traingle = √s(s - a)(s - b)(s - c)
where,
s is semi-perimeter of triangle.
a, b and c are sides of triangle.
• Semi-perimeter = Perimeter of triangle/2
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@Legend42