Monday

October 20, 2014

October 20, 2014

Posted by **deana** on Wednesday, January 25, 2012 at 3:55pm.

triangle with legs of length 1, along with onefourth of a circle centered at the right-angle

vertex of the triangle. Using the result that

the shortest path between two points is a line

segment, explain why this ﬁgure shows that

2(squareroot of 2) <2

- math -
**Reiny**, Wednesday, January 25, 2012 at 5:10pmI see this is the second time you posted this.

Of course you realize that we can't see any diagram, but I think I can draw it from your description

First of all, you must have a typo.

Did you mean 2√2 < π ??

Since your statement of2√2 < 2 is false, (2√2 = appr. 2.8)

In the triangle let the hypotenuse be h

h^2 = 1^2 + 1^2 = 2

h = √2

the arc is (1/4)(2π) = π/2

then because of the straight between two points is always less than a curve between the same two points,

√2 < π/2

multiply by 2**2√2 < π**

**Answer this Question**

**Related Questions**

geometry - 51. The ﬁgure below illustrates an isosceles right triangle ...

Math (Geometry) - The perimeter of right triangle ABC is equal to the perimeter ...

geometry - The perimeter of right triangle RST is equal to the perimeter of ...

Math - 1) The hypotenuse of an isosceles right triangle is 8 cm longer than ...

Math-CHECK PLEASE - Which of the statements is ALWAYS TRUE? A-A right triangle ...

corollary to isosceles triangle theorem - how to prove 1)the measure of each ...

geometry - the vertices of triangle ABC are A(1,7)B(9,3)C(3,1) a.prove that the ...

math - The vertices of a triangle are listed below. H(-2,4), I(22,4), J(10,-1) ...

math (please help)! - Geometry ***(PLEASE CHECK MY ANSWER)*** 1. If triangle RST...

Math(Geometry) - In the diagram below(no diagram but details will be provided), ...