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Ber [7]
3 years ago
5

A triangle has side lengths 32, 45 and 18. What type of triangle is it?

Mathematics
1 answer:
sergejj [24]3 years ago
8 0

Answer:

Part A) Option C. obtuse

Part B) Option B. acute

Step-by-step explanation:

we know that

Applying the Pythagoras Theorem

if c^{2}=a^{2}+b^{2} ----> is a right triangle

if c^{2}>a^{2}+b^{2} ----> is an obtuse triangle

if c^{2} ----> is an acute triangle  

where

c is the greater side

Part A) A triangle has side lengths 32, 45 and 18. What type of triangle is it?

we have

c^{2}=45^{2}=2,025

a^{2}+b^{2}=32^{2}+18^{2}=1,348

therefore

c^{2}>a^{2}+b^{2}

Is an obtuse triangle

Part B) A triangle has side lengths 44, 36 and 30. What type of triangle is it?

we have

c^{2}=44^{2}=1,936

a^{2}+b^{2}=36^{2}+30^{2}=2,196

therefore

c^{2}< a^{2}+b^{2}

Is an acute triangle

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