The lengths of the sides of a triangle are 11, 15, and 20 Classify the triangle as acute, right, or obtuse.

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ranikashyab066 ranikashyab066 · Answer 1 · 2020-01-14T08:26:10+01:00

Answer:

The given triangle is NOT A RIGHT ANGLED triangle.

Step-by-step explanation:

Here, the given three sides of the triangle are: 11 , 15 and 20.

A. To check if the given triangle is RIGHT ANGLED or NOT

Here, the longest side = 20

So, he hypotenuse = 20

Now, if the given triangle a right angled then by PYTHAGORAS THEOREM

[tex](Hypotenuse)^2 = \textrm{The sum of square of other two sides}[/tex]

[tex]\implies (20)^2 = (15)^2 + (11)^2\\\implies 400 = 346[/tex]

This is a CONTRADICTION as, 400 ≠ 346

Hence the given triangle is NOT A RIGHT ANGLED triangle.

Now, we CAN NOT decide if the triangle is an Acute or Obtuse angled with the help of given sides.

For that classification, ANGLES SHOULD BE KNOWN.