Question

Find the HCF of 378 and 735 by eulods algor ithm​

Answer 1

Answer:

17

Step-by-step explanation:

735  = 378 x 1 + 357

378 = 357 x 1 + 21

357 = 21 x 17 + 0

HCF = 17

Answer 2

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 :-

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