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Prove that the (3,0) (6,4) (-1,3) …

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Prove that the (3,0) (6,4) (-1,3) are vertical of a right angle isosceles right tringle?

Posted by Arun Tiwari 6 years, 10 months ago

CBSE > Class 10 > Mathematics

5 answers

Anushka Jugran_? 6 years, 10 months ago

Use distance formula and prove two side equal to each other

Prashant Kumar 6 years, 10 months ago

This question incorrect

Lol No 6 years, 10 months ago

Find their lengths...2 sides should be equal and the sum of squares of two sides should be equal to the square of 3rd side....its proved.

Prashant Kumar 6 years, 10 months ago

Find the distance between coordinates by using distance formula and prove

Gaurav Seth 6 years, 10 months ago

Given A(3, 0), B(6, 4) and C(–1, 3)

AB^2 = (3 – 6)^2 + (0 – 4)^2

= 9 + 16 = 25

BC^2 = (6 + 1)^2 + (4 – 3)^2

= 49 + 1 = 50

CA^2 = (–1 – 3)^2 + (3 – 0)^2

= 16 + 9 = 25

AB^2 = CA^2 ⇒ AB = CA

Triangle is isosceles

Also,

25 + 25 = 50

⇒ AB^2 + CA^2 = BC^2

Since Pythagoras theorem is verified, therefore

Triangle is a right angled triangle

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