Question

Does each set of side lengths form a right triangle? Drag the choices into the boxes to correctly complete the table. Right Triangle Not a Right Triangle

10m,11m,15m, 15m,8m,m17,

Answer 1

10m, 11m, 15m is not a right triangle
15m, 8m, 17m is a right triangle

Answer 2

Answer:-10m,11m,15m→ Not a right triangle

15m,8m,17m→ Right triangle

Explanation:-

We know that according to Pythagoras theorem of right triangles

`(longest\ side)^2=\text{sum of squares of remaining sides}`

Set 1. 10m,11m,15m

Let triangle with side lengths 10m,11m,15m is a right angle.

then by Pythagoras theorem

`15^2=11^2+10^2\\\Rightarrow225=121+100\\\Rightarrow225=221 ,....which\ is\ not\ true.`

⇒10m,11m,15m→ Not a right triangle

Set 2. 15m,8m,17m

Let triangle with side lengths 10m,11m,15m is a right angle.

then by Pythagoras theorem

`17^2=15^2+8^2\\\Rightarrow289=225+64\\\Rightarrow289=289,...........which\ is\ true.`

⇒15m,8m,17m→ Right triangle