Question

if you know the answer of this question then reply fast...

Answer 1

Ans will be (i)
We know that all right angled triangles follow the Pythagoras Theorem right??

So only (i) satisfies the condition

5²+12²=13²

Answer 2

Answer:

(i) a=5cm, b=12cm, c=13cm and a=9cm, b= 15cm, c=12cm

Step-by-step explanation:

In order to judge whether the triangle is right triangle or not if all the sides of the triangle are given, we use the pythagoras property that is $(Hypotenuse)^{2}=(Base)^{2}+(Perpendicular)^{2}$ and show that it is satisfied by the three sides of the triangle.

(i) a=5cm, b=12cm, c=13cm

⇒$(13)^{2}=(5)^{2}+(12)^{2}$

⇒$169=169$

Hence, the property is satisfied.

(ii) a=9cm, b= 15cm, c=12cm

⇒$15^{2}=9^{2} +12^{2}$

⇒$225=225$

Hence, the property is satisfied.

(iii) a= 5cm,b= 6cm, c=10cm

⇒$(10)^{2}=5^{2} +6^{2}$

⇒$100\neq 61$

Hence, the property is not satisfied.