Sides of triangles are given below. Determine which of them are right triangles. In case of a right triangle, write the length of its hypotenuse.
(i) $7 \mathrm{~cm}, 24 \mathrm{~cm}, 25 \mathrm{~cm}$
(ii) $3 \mathrm{~cm}, 8 \mathrm{~cm}, 6 \mathrm{~cm}$
(iii) $50 \mathrm{~cm}, 80 \mathrm{~cm}, 100 \mathrm{~cm}$
(iv) $13 \mathrm{~cm}, 12 \mathrm{~cm} .5 \mathrm{~cm}$

Answer

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Geometry

NCERT Class 10 - Math

Chapter 6

Triangles

Section 5

Areas of Similar Triangles

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Video Transcript

We have problem No one. Which related to buy their first term. Well, given the sides of the triangles are being given. So we need to find which of all right angle, right angle triangle. And if it is then right the length of its happiness. So first of all, we have to just understand the category student. If abc is a right angle triangle, right angle that be so according to pythagoras, terram square should be equal to a b square place. You see a square. No, if any of the given triangle satisfy this equation, then it will be right angle triangle, Otherwise it won't. Okay, first is sites are given as seven cm, 24 cm and 25 cm. So seven squared plus 24 square is equal to 49 plus 576. That is 625, which is 25 square. So we can see that this first side, the second side is square, the third side square. So this is yes, this is a right angled triangle and length of hypothermia says 25. So we can say Hi Potanin's is 25 Centim and this is of course a right angle triangle. Second is sites are given as 386. And one thing to be very sure that hi opportunity is the largest site. So If we write eight square 80 64 and if we right three square players, six square it is nine, Lus 36, So 64 is not equal to 45. So this is not right angled triangle. Okay, 30 days third is 50 1800 So 100 square is 10,000 and fifties were Plus 80 square is 25 100 Place 60 400 09, eight. So these two are not equal. So no, not a right angled triangle. And four days 13, 12 and 5, 13 square is 169 and five square. Place 12 square is 25 players. 140 for that is 169. Now we can see that five squared plus 12 square equal to 13 square. So, yes, this is a right angle triangle and hyper tennis's 13 centimeter. Thank you.

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