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2 years ago

Given: Line A R bisects ∠BAC; AB = AC

Mathematics

1 answer:

Nadya [2.5K]2 years ago

8 0

The ΔABR ≅ ΔACR are congruent by SAS theorem

Option D is the correct answer.

The missing diagram is attched with the answer.

<h3>What is a Triangle ?</h3>

A triangle is a polygon with three sides , three vertices and three angles.

SAS will be used to prove the congruence of ΔABR ≅ ΔACR

In both the triangle we have a common side , AR

AB = AC (given)

∠ B A R = ∠R A C ( given equal)

So as the two side and the included angle is equal

Therefore the ΔABR ≅ ΔACR are congruent by SAS theorem

Option D is the correct answer.

To know more about Triangle

brainly.com/question/2773823

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Find the dimensions of an open rectangular box with a square base that holds 2000 cubic cm and is constructed with the least bui

Vesnalui [34]

<h3>The dimensions of the given rectangular box are:</h3><h3>L = 15.874 cm , B = 15.874 cm , H = 7.8937 cm</h3>

Step-by-step explanation:

Let us assume that the dimension of the square base = S x S

Let us assume the height of the rectangular base = H

So, the total area of the open rectangular box

= Area of the base + 4 x ( Area of the adjacent faces)

= S x S + 4 ( S x H) = S² + 4 SH ..... (1)

Also, Area of the box = S x S x H = S²H

⇒ S²H = 2000

$\implies H = \frac{2000}{S^2}$

Substituting the value of H in (1), we get:

$A = S^2 + 4 SH = S^2 + 4 S(\frac{2000}{S^2}) = S^2 + (\frac{8000}{S})\\\implies A = S^2 + (\frac{8000}{S})$

Now, to minimize the area put :

$(\frac{dA}{dS} ) = 0 \implies 2S - \frac{8000}{S^2} = 0\\\implies S^3 = 4000\\\implies S = 15.874 \approx 16 cm$

Putting the value of S = 15.874 cm in the value of H , we get:

$\implies H = \frac{2000}{S^2} = \frac{2000}{(15.874)^2} = 7.8937 cm$

Hence, the dimensions of the given rectangular box are:

L = 15.874 cm

B = 15.874 cm

H = 7.8937 cm

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3 years ago

Help please thank you

yarga [219]

X = 400!
Have a goody day:)

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