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Naily [24]
2 years ago
15

The perimeter of a triangle is 65 meters. The second side is 5 meters less than the first side The third side is 7

Mathematics
2 answers:
Tom [10]2 years ago
8 0

Answer:

First side (x)=21m

Second side=x-5=21-5=16m

Third side= x+7=21+7=28m

Step-by-step explanation:

Perimeter of the triangle= Sum of all the three sides

Let the First side be 'x'

Then, Second side =x-5

Third side= x+7

Perimeter=65 m

Perimeter of the triangle= First side + Second side + Third side

      65=x+(x-5)+(x+7)\\\\65=x+x+x-5+7\\\\65=3x+2\\\\3x=65-2\\\\3x=63\\\\x=63/3\\\\x=21 m\\\\

First side (x)=21m

Second side=x-5=21-5=16m

Third side= x+7=21+7=28m

notsponge [240]2 years ago
6 0

Answer:

x=21

y=16

z=28

Step-by-step explanation:

Let

The first side=x

The second side =y

The third side=z

The rest is in the attached file

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3 years ago
Need help asap !!!!!
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Answer:

The answer is x = 5.

Step-by-step explanation:

Given:

Δ ABC is an Isosceles triangle with AB = CA

   m∠ ABC = ( 6x + 4 )°

   m∠ BAC = 73°

   m∠ BCA = ( 8y - 7 )°

To Find:

x = ?

Solution:

Properties of an Isosceles Triangle.

  1. Base angles or two angles are equal.
  2. Any two sides are equal.

Here , Δ ABC is an Isosceles triangle with AB = CA

∴  m∠ BAC = m∠ BCA

73= 8y-7\\8y=73+7\\8y=80\\y=\frac{80}{10} \\y=10

∴      m∠ BCA = ( 8y - 7 )°

                       = 8 × 10 - 7

       m∠ BCA  = 73  Which is same as ∠ CAB

Property of a Triangle is Sum of the measures of the angle of a triangle is 180°.

\angle ACB + \angle CAB + \angle CBA = 180

Substituting the values we get,

73 + 73 + (6x+4) = 180\\6x+4=180-146\\6x=34-4\\6x=30\\x=\frac{30}{6} \\x=5\\

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Answer:

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