The average income of 3 men and 6 boys is 204 rupees. If the income of 1 man is equal to 2 boys. What is the income of 1 man?
Answers
Step-by-step explanation:
If the income of 3 men = ₹204
then the income of 1 man will be = 204÷ 3
= ₹68
So the income of 1 man will be ₹ 68
Step-by-step explanation:
Given :
Area of triangle = 70 cm²
Length of 1st side = 14 cm
To Find :
Length of 2nd side = ?
Solution :
Let, another side = x
We know that,
\underline{\boxed{\bf{ Area \: of \: triangle = \dfrac{1}{2} \times base \times height }}}
Areaoftriangle=
2
1
×base×height
\underline{\boxed{\bf{ Area \: of \: triangle = \dfrac{1}{2} \times b \times h}}}
Areaoftriangle=
2
1
×b×h
We have :
Base = x
Height = 14 cm
Area of triangle = 70 cm²
On substituting the values :
\sf : \implies 70 \: cm^{2} = \sf\dfrac{1}{2} \times 14 \: cm \times x:⟹70cm
2
=
2
1
×14cm×x
\sf : \implies 70 \: cm^{2} = \sf\dfrac{1}{\cancel{2}} \times \cancel{14}_{7} \: cm \times x:⟹70cm
2
=
2
1
×
14
7
cm×x
\sf : \implies 70 \: cm^{2} = 7 \: cm \times x:⟹70cm
2
=7cm×x
\sf : \implies \dfrac{\cancel{70}^{10} \: cm^{2}}{\cancel{7} \: cm} = x:⟹
7
cm
70
10
cm
2
=x
\sf : \implies 10 \: cm = x:⟹10cm=x
\underline{\boxed{\bf{x = 10 \: cm}}}
x=10cm
Hence, Length of 2nd side of triangle is 10 cm.