The large colonial house was eerily silent as the vandana groped their way to the kitchen at the back .vandana knocked over a box in the passage and both the girls jumped (1) What did mrs. Sharma ask the two girls to do while she and mr. Sharma were out. ?Did the girls follow her instructions?
Answers
Answer:
l think they will be following or they should follow
Answer:
Answer:
Given :-
Sides of triangular plot = 2:3:4
Perimeter = 450 m
To Find :-
Area
Solution :-
Let sides be x
Firstly let's find all sides of triangle
As we know that Perimeter is the sum of all sides
\sf \: 2x + 3x + 4x = 4502x+3x+4x=450
\sf \: 9x = 4509x=450
\sf \: x = \dfrac{450}{9}x=
9
450
\sf \: x = 50x=50
Let's find angles
\sf \: 2(50) = 1002(50)=100
\sf3(50) = 1503(50)=150
\sf \: 4(50) = 2004(50)=200
Now,
Let's find its semiperimeter
\sf \: s = \dfrac{a + b + c}{2}s=
2
a+b+c
\sf \: s = \dfrac{100 + 150 + 200}{2}s=
2
100+150+200
\sf \: s = \dfrac{450}{2} = 225s=
2
450
=225
Now,
Let's find Area by herons formula.
\huge \bf \green{\sqrt{s(s - a)(s - b)(s - c)} }
s(s−a)(s−b)(s−c)
\tt \mapsto \sqrt{225(225- 100)(225 - 150)(225 - 200)}↦
225(225−100)(225−150)(225−200)
\tt \mapsto \: \sqrt{225\times 125\times 75 \times 25}↦
225×125×75×25
\tt \mapsto \: \sqrt{(15 \times 15) (25 \times 5)(25 \times 3)(5 \times 5)}↦
(15×15)(25×5)(25×3)(5×5)
\tt\sqrt{15 {}^{2} \times 5{}^{2} \times 5 \times {5}^{2} \times }
15
2
×5
2
×5×5
2
×
\tt \: 1875× \sqrt{15}1875×
15
\huge \tt \mapsto 1875× \sqrt{15}{m}^{2}↦1875×
15
m
2
Diagram :-
\setlength{\unitlength}{1 cm}\begin{picture}(0,0)\thicklines\qbezier(1, 0)(1,0)(3,3)\qbezier(5,0)(5,0)(3,3)\qbezier(5,0)(1,0)(1,0)\put(2.85,3.2){$\bf A$}\put(0.5,-0.3){$\bf C$}\put(5.2,-0.3){$\bf B$}\end{picture}