Question

A) (Triangle)ABC, given that AB = 16 cm, BC = 63 cm and

AC = 65 cm how do we find if it is a right angled

Answer 1

Δ ABC is right angled

Explanation:

If the triangle is right then the longest side squared will equal the sum of the squares on the other 2 sides.

longest side = 65, then

65² = 4225

16² + 63² = 256 + 3969 = 4225

Since 65² = 16² + 63² then Δ ABC is right

Answer 2

We can know if it is a right angled triangle by using the Pythagoras theorem ( a²+b²=c²)

Explanation:

To identify, we can take the largest length of the triangle as hypotanuse( that is, AC:65) And the rest as base and perpendicular ( 63 and 16 cm)

By applying Pythagoras theorem,

AB²+BC²= AC² ; (63)²+(16)²= (65)²

63² is 3969, 16² is 256… 65² is 4225.

Now, if 63²+16²:65²… then the triangle mentioned is a right angled triangle.

3969+256=4225

LHS = RHS, So, triangle ABC is a right angled triangle as it satisfies the condition of Pythagoras theorem.