Question

In a triangle the sum of any two sides exceeds the third side by 6cm.its semi-perimeter (in cm)is

Answer 1

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b8ramsakiknishuadwa

30.01.2017

Math

Secondary School

+8 pts

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In a triangle the sum of any two sides exceeds the third side by 6cm then find the area.

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abhi178

Abhi178 ★ Brainly Teacher ★

let a, b, and c are sides of triangle

a/c question

a+b-c=6

b+c-a=6

c+a-b=6

add all equations

a+b+c=18

hence perimeter (s)=18

s-(a+b-c)=18-6

a+b+c-a-b+c=12

2c=12

c=6cm

in the same way

b=a=6cm

hence triangle is an equilatral

so ,

area of equilatral triangle=root3/4 (6)^2

=9root3 cm^2

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Answer 2

Answer:

its pretty simple

Step-by-step explanation:

first, you need to know the area formula of equilateral triangle=root3/4a^2

let triangle be an equilateral triangle

let all equal sides be="a"

it is given that sum of two sides exceeds other by 6

so the equation will be(a+a=a+6)

=2a-a=6

=a=6

now area = root3/4a^2

root3/4*(6)^2

=root3/4*36

=9root3 cm^2