Question

ABCD is a rectangle whose three vertices are B (0,4) C (4,3) and D(0,3)find the length of one of its diagonal
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Answer 1

GiveN :-

ABCD is a rectangle whose three vertices are B(0 , 4) , C(4 , 3) , D(0 , 3).

To FinD :-

What is the length of one of its diagonal.

SolutioN :-

ABCD is a rectangle.

BD is one of a diagonal

Given :

B(0 , 4)

C(4 , 3)

D(0 , 3)

Then, according to the question,

↦ $\sf BD =\: \sqrt{{(0 - 0)}^{2} + {(4 - 3)}^{2}}$

↦ $\sf BD =\: \sqrt{{(0)}^{2} + {(1)}^{2}}$

↦ $\sf BD =\: \sqrt{0 \times 0 + 1 \times 1}$

↦ $\sf BD =\: \sqrt{0 + 1}$

➠ $\sf\bold{\red{BD =\: 1}}$

∴ The length of the diagonal is 1 unit .

Answer 2

Answer:

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