Find the length x. Express your answer in simplified radical form
sides are 20cm on side, 15cm on bottom and the hypotenuse is x
2007-03-18 06:03:55 · 15 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics
i will assume right angled triangle, or there isn't enough info.
x^2 = 20^2 + 15^2 = 5^2( 4^2 + 3^2) = 5^2*5^2
so x = 25
2007-03-18 06:08:55 · answer #1 · answered by hustolemyname 6 · 0⤊ 0⤋
Since there are no angles mentioned so we can take the easy path and assume its a right triangle. If we assume so then we can see that the 2 sides 20 & 15 are multiples of 5 which can reduce to 4 & 3 respectively. Since the triangle is a right one, it can b one of the pythagorean triplets with sides 3,4,5. This means that the side x is a multiple of 5 i.e. 5 x 5 = 25cm.
However do note that since we are not told about the angles so we cant b sure of this answer. We have to know at least one of the angles in order to find out side x, or else we can go ahead and assume it to be a right triangle.
2007-03-18 13:42:12 · answer #2 · answered by ria_d10 2 · 0⤊ 0⤋
Hi,
Use the Pythagorean Theorem, a^2 + b^2 = c^2, where c is the hypotenuse of the triangle. Your numbers make it:
20^2 + 15^2 = x^2
400 + 225 = x^2
625 = x^2
Taking the square root of 625, you find that x = 25, so 25 cm is the length of your hypotenuse.
I hope that helps.
2007-03-18 13:11:46 · answer #3 · answered by Pi R Squared 7 · 0⤊ 0⤋
so you use pythag theorem, which gets you 15^2 + 20^2 = x^2, and solve for x. Or, you could divide everything by 5 and realize that this is a 3-4-5 triangle, and so the hypotenuse is 5*5 or 25.
2007-03-18 13:13:23 · answer #4 · answered by J Z 4 · 0⤊ 0⤋
20/5 = 4
15/5 = 3
3,4,5 is a pythagorean triple. 3^2 + 4^2 = 5^2 = 9 +16 = 25
5 * 5 = 25 cm for the hypotenuse.
2007-03-18 13:09:20 · answer #5 · answered by boombabybob 3 · 0⤊ 0⤋
Use this formula to solve this:
a^2 +b^2 = c^2 (c^2 is the hypotenuse of the triangle)
My final answer from using the calculator is 25 for c so hypotenuse is 25
2007-03-18 13:09:19 · answer #6 · answered by Eve 1 · 0⤊ 0⤋
In a right angle triangle:
20² + 15² = x²
x = â(400 + 225)
x = â625 = 25cm
2007-03-18 13:13:36 · answer #7 · answered by Norrie 7 · 0⤊ 0⤋
a^2+b^2=c^2
Therefore:
15^2+20^2= x^2
x^2= 625
x= sqrt(625)
x=25; the hypotenuse is 25cm.
2007-03-18 13:11:02 · answer #8 · answered by Etania 7 · 0⤊ 0⤋
a^2 + b^2 = c^2
20^2 + 15^2 = x^2
x^2 = 400 + 225
x^2 = 625
x = sqrt(625)
x = 25
2007-03-18 13:10:39 · answer #9 · answered by Anonymous · 0⤊ 0⤋
If it's a right triangle you can find out. If it isnt, x is greater than or equal to 25
2007-03-18 13:07:25 · answer #10 · answered by Anonymous · 0⤊ 0⤋