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In an isosceles right triangle, one of the congruent sides has a measure 7 cm. Find the measure of the hypotenuse.

2006-07-11 02:41:30 · 10 answers · asked by Anonymous in Education & Reference Homework Help

10 answers

we know two things from this problem that aren't really given.

1: Since it's isosceles, we know that both it's legs are the same length.
2: Since it's a right triangle, we know the square of it's hypoteneuse is equal to the sum of the square of it's legs.

So, we know:
A(7)^2 + B(7)^2 = C^2
49 + 49 = C^2
98 = C^2
sqrt(98)=C
Sqrt(49)*Sqrt(2)=C
7Sqrt(2)=C

2006-07-11 02:49:45 · answer #1 · answered by rickthewonderalgae 3 · 0 0

According to your information, the perimeter is the sum of length of all sides. So, the perimeter is Perimeter=(2x + 9) + (2x + 9) + (3x) Since the perimeter is known to be 60 inches, 60 = (2x + 9) + (2x + 9) + (3x) or, 60 = 2(2x + 9) + 3x = 4x + 18 + 3x = 7x + 18 60 - 18 = 7x 42 = 7x 42/7=x x=6 Therefore, x = 6

2016-03-27 01:00:12 · answer #2 · answered by Anonymous · 0 0

Impossible without knowing the angle at the apex. All that can be said is that it's between 0.000000000000000.....001 cm and 13.9999999999999... cm

2006-07-11 02:47:18 · answer #3 · answered by Anonymous · 0 0

Don't you think you would be better trying to work through some of these problems yourself rather than just asking for the answers? You'll never learn that way.

2006-07-11 02:46:37 · answer #4 · answered by Beckylou 3 · 0 0

I already have a GCSE in Maths, 2 A-levels in Maths and 2 Engineering degrees. I have done enough Maths homework in my time, it is now time for you to do your own homework!

2006-07-11 02:47:09 · answer #5 · answered by ehc11 5 · 0 0

the square root of 98

2006-07-11 02:46:45 · answer #6 · answered by Anonymous · 0 0

a^2+b^2=c^2

so if this is correct
49+49=98

square root of 98

2006-07-11 02:46:40 · answer #7 · answered by mattinfla 3 · 0 0

Hypotenuse is also 7cm

2006-07-11 02:46:39 · answer #8 · answered by bear 3 · 0 0

How about, um.....you try doing your own homework, dude

2006-07-11 03:18:15 · answer #9 · answered by nicoleofun 2 · 0 0

is that all you know is about triangles

2006-07-11 02:45:50 · answer #10 · answered by princess 4 · 0 0

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