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pickupchik [31]
2 years ago
10

The lengths of the sides of a triangle are 7, 24 and 25. Classify the triangle as acute, right, or obtuse. Choose the correct ty

pe of triangle below. ⭐️Obtuse ⭐️Right ⭐️Acute
Mathematics
1 answer:
Gennadij [26K]2 years ago
7 0

Answer:

Right angled triangle

Step-by-step explanation:

This is because the square root of the sum of the squares of 7 and 24 is 25 ( Pythagoras theorem) . This only works for right angled triangle.

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Answer:

b

Step-by-step explanation:

∠ BAD = 90° and

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In triangle △ABC, ∠ABC=90°, BH is an altitude. Find the missing lengths. AB=4 and BC=3, Find AH, CH and BH.
IRISSAK [1]

Answer:

  • AH = 3.2
  • CH = 1.8
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Step-by-step explanation:  

It can be convenient to compute the length of the hypotenuse of this triangle (AC). The Pythagorean theorem tells you ...

   AC^2 = AB^2 + CB^2

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The altitude divides ∆ABC into similar triangles ∆AHB and ∆BHC. The scale factor for ∆AHB is ...

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And the scale factor to ∆BHC is ...  

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And the side CH is 0.6·BC = 0.6·3 = 1.8  

These two side lengths should add to the length AC = 5, and they do.  

The remaining side BH can be found from either scale factor:    

  BH = AB·0.6 = BC·0.8 = 4·0.6 = 3·0.8 = 2.4

_____  

The sides of interest are ...  

  AH = 3.2

  CH = 1.8

  BH = 2.4

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3 years ago
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