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Reptile [31]
3 years ago
6

15,35,40 will it make a right triangle

Mathematics
2 answers:
atroni [7]3 years ago
8 0

Answer:

<h2>NO.</h2><h2>15, 35, 40 it will make an obtuse triangle.</h2>

Step-by-step explanation:

If <em>a ≤ b ≤ c</em> are sides of a triangle, then <em>a + b > c</em>.

We have <em>a = 15, b = 35, c = 40</em>.

Check:

<em>15 + 35 = 50 > 40           CORRECT</em>

These sides can be the sides of a triangle.

If <em>a ≤ b ≤ c</em> are sides of a triangle, then

if <em>a² + b² = c², </em>then it's a right triangle

if <em>a² + b² < c², </em>then it's an obtuse triangle

if <em>a² + b² > c², </em>then it's an acute triangle

Check:

<em>15² + 35² = 225 + 1225 = 1450</em>

<em>40² = 1600</em>

<em>1450 < 1600 ⇒ 15² + 35²  < 40²</em>

Therefore it's  an obtuse triangle

<em></em>

KIM [24]3 years ago
6 0

Answer:

NO.

Step-by-step explanation:

If it is a right triangle then by the Inverse of the Pythagoras Theorem:

40^2 = 35^2 + 15^2

Testing:

40^2 = 1600

35^2 + 15^2 = 1225 + 225 = 1450

So the answer is NO>

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