17 m 17 m
16 m
Find the area of the isoceles triangle.
The area is
square meters.

9514 1404 393

  120 m²

Step-by-step explanation:

If you divide the isosceles triangle into two right triangles, each has a leg and hypotenuse of 8 and 17, respectively. You may recognize these numbers as part of the Pythagorean triple (8, 15, 17). That recognition tells you the triangle's height is 15 m, so its area is ...

  A = 1/2bh

  A = 1/2(16 m)(15 m) = 120 m² . . . . triangle area

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Alternate solutions

Given the three sides, you can find the smallest angle from the Law of Cosines. It will be ...

  α = arccos((17² +17² -16²)/(2·17·17)) ≈ 56.144°

Then the area is ...

  A = 1/2·ab·sin(C) . . . for triangle with sides a, b, c and opposite angles A, B, C

  A = 1/2sin(α)·17·17 = 120 . . . m²

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Using Heron's formula:

  s = (17 +17 +16)/2 = 25

  A = √(25(25 -17)(25 -17)(25 -16)) = 5×8×3 = 120 . . . m²

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If you need to, you can compute the triangle's height from the Pythagorean theorem.

  a² +b² = c² . . . . generic Pythagorean theorem equation

  8² + h² = 17² . . . with relevant values filled in

  h² = 289 -64 = 225

  h = √225 = 15

1/2(2*4)=6 $$- agahajakanajak

option b  

step-by-step explanation:

we know that

the distance from point n to lm in the figure is equal to the distance of the perpendicular line to lm that passes through the point n

so

the distance is equal to the segment no

> given problem

therefore

the distance from point n to lm is equal to