Question

A triangle has sides of lengths 16,14 and 50 .is the triangle right angle triangle?​

Answer 1

no

Explanation:

using the converse of Pythagoras' identity

If the square on the longest side is equal to the sum of the squares of the other 2 sides, then the triangle is right.

longest side = 50 ⇒ 50² = 2500

16² + 14² = 256 + 196 = 452

since 452 ≠ 2500 then the triangle is not right

Answer 2

❒ Question -:

A triangle has sides of lengths 16,14 and 50. Is the triangle right angle triangle?

❒ Explanation -:

We will solve this question using Pythagoras theorem.

We know,

`\small \boxed{\rm{ c² = a² + b²}}`

`\small\rm{Where,}`
`\small\sf{ c > a \: and \: c > b}`

`\small\sf{ 50² = 16² + 14²}`

`2500 = 256+ 196`

`2500≠452`

`\small\bf{ c² ≠ a² + b²}`

Hence, the triangle is not a right-angled triangle.