Find the area & perimeter A Bem -) p = scm
Answers
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Step-by-step explanation:
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Answer:
Semiperimeter of a triangle (s) = 1212(a + b + c)
Area of a triangle (A) = 1212 × base × altitude = 1212ah
Here any side can be taken as base; the length of the perpendicular from the corresponding vertex to this side is the altitude.
Area = s(s - a)(s - b)(s - c)−−−−−−−−−−−−−−−√s(s - a)(s - b)(s - c) (Heron’s formula)
Altitude (h) = area12×basearea12×base = 2△a2△a
Solved Example on Finding the Perimeter, Semiperimeter and Area
of a Triangle:
The sides of a triangle are 4 cm, 5 cm and 7 cm. Find its perimeter, semiperimeter and area.
Solution:
Perimeter of a triangle (P) = Sum of the sides
= a + b + c
= 4 cm + 5 cm + 7 cm
= (4 + 5 + 7) cm
= 16 cm
Semiperimeter of a triangle (s) = 1212(a + b + c)
= 1212(4 cm + 5 cm + 7 cm)
= 1212(4 + 5 + 7) cm
= 1212 × 16 cm
= 8 cm
Area of a triangle = s(s - a)(s - b)(s - c)−−−−−−−−−−−−−−−√s(s - a)(s - b)(s - c)
= 8(8 - 4)(8 - 5)(8 - 7)−−−−−−−−−−−−−−−√8(8 - 4)(8 - 5)(8 - 7) cm22
= 8 × 4 × 3 × 1−−−−−−−−−−−√8 × 4 × 3 × 1 cm
Step-by-step explanation:
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