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ruslelena [56]
3 years ago
9

In Exercises 15 and 16, tell whether the triangle with the given side

Mathematics
1 answer:
Nata [24]3 years ago
3 0

15. 10 cm, 10 cm, V200 cm  : Right Angled Triangle

16. 9 in., 16 in., 25 in. : Not a right angled triangle

Step-by-step explanation:

In order to check whether the given sides form a right angled triangle, we check if the sum of squares of two shorter sides is equal to the square of third longest side.

So

<u>15. 10 cm, 10 cm, V200 cm</u>

The\ shorter\ sides\ are\ 10cm\ and\ 10cm\\Let \\a=10\\b=10\\c=\sqrt{200}So,\\c^2=a^2+b^2\\(\sqrt{200})^2=(10)^2+(10)^2\\200 = 100+100\\200 = 200

<u>The triangle is a right angled triangle.</u>

<u>16. 9 in., 16 in., 25 in.​</u>

Here

a = 9 in

b=16 in

c=25 in

So,

c^2=a^2+b^2\\(25)^2=(9)^2+(16)^2\\625=81+256\\625=337

<u>The given triangle is not a right angled triangle.</u>

Keywords: Triangle, Right angled Triangle

Learn more about triangle at:

  • brainly.com/question/12896802
  • brainly.com/question/12973601

#LearnwithBrainly

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