The legs of a right triangle are 6 and 8 cm. Find the hypotenuse and the area of the triangle.

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The legs of a right triangle are 6 and 8 cm. Find the hypotenuse and the area of ​​the triangle.

faliryr · Accepted Answer

a=6 cmb=8 cmc - ? cmS-?   c      m          2      Solution:according to the Pythagorean theorem:       a          2        +      b          2        =      c          2      where a, b - legs, c - hypotenuse  c  =            a              2              +          b              2              =            6              2              +          8              2              =      36    +    64    =      100    =  10  (  c  m  )- hypotenuse   △  S  =      1    2    a  b  =      1    2    ∗  6  ∗  8  =  24  (  c      m          2        )Answer: 10cm hypotenuse   △ ;   24  c      m          2       square   △

Teagan Sutton · Accepted Answer

According to the Pythagorean theorem, the square of the hypotenuse (c) of a right triangle is equal to the sum of the squares of the legs (a and b),       c    2    =      a    2    +      b    2  .       c    2    =      6    2    +      8    2        c    2    =  100c=10 cm.The hypotenuse is 10 cm.The area of ​​a triangle is half the product of its legs.S=0.5*abS=0.5*8*6.  S  =  24  c      m    2  .The area of ​​a triangle is   24  c      m    2  .Answer:   10  c  m  ,  24  c      m    2  .

The legs of a right triangle are 6 and 8 cm. Find the hypotenuse and the area of the triangle.

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