2006-09-14 05:30:03 · 10 answers · asked by mickbella 1 in Science & Mathematics ➔ Mathematics
to find the altitude of an isolseles triangle, split it down the middle at a right angle to the base, and use the pythagorean theorem. Don't forget to divide the base by 2.
5^2 + b^2 = 13^2
b^2 = 13^2 - 5^2
b= sqrt(169-25)
b= sqrt(144)
b= 12
2006-09-14 05:42:31 · answer #1 · answered by smartee 4 · 0⤊ 0⤋
This isoceles triangle can be split into two equivalent right triangles if you were to draw a line from the center of the base to the corner where the two 13 sides meet. Each right triangle would then have a hypotenuse of 13 and one side of 10/2, or 5. The height would then be the other side (which the two triangles share). This can be done using Pythagoras's theorem, using h as the height...
h^2 + 5^2 = 13^2
h^2 + 25 = 169
h^2 = 144
h = 12
The height of the original triangle is 12
2006-09-14 08:17:31 · answer #2 · answered by Kyrix 6 · 0⤊ 0⤋
Draw the perpendicular bisector to the base
now we have a right angled triangle with sides h, 5, 13
so h^2+5^2= 13^2
h^2 = 13^2-5^2 = 144
h =12
this is altitude so it is 12
2006-09-14 05:43:21 · answer #3 · answered by Mein Hoon Na 7 · 0⤊ 0⤋
i do not understand once you've taken geometry or no longer, yet an altitude for this triangle is the line drawn from the perspective whose aspects are thirteen and thirteen to the area whose length is 10. The altitude makes a precise perspective with the area whose length is 10. to boot to, the altitude BISECTS that line because you've an ISOCELES triangle. that would favor to make life a lot less complicated.
2016-10-16 00:38:25 · answer #4 · answered by ? 4 · 0⤊ 0⤋
you mean its height?
draw a line from the middle of the base to the top vertex dividing the triangle into 2 triangles.
the sides of these smaller ones are 5 and 13 with a right angle
5^2+x^2=13^2
x^2=144
x=12
2006-09-14 05:34:05 · answer #5 · answered by dan 4 · 1⤊ 0⤋
It is one of the familiar perfect right triangles.
3-4-5
5-12-13
2006-09-14 07:24:09 · answer #6 · answered by Anonymous · 0⤊ 0⤋
using the pythagoras theorem
h^2=13^2-5^2=169-25=144
h=12
2006-09-14 05:33:14 · answer #7 · answered by raj 7 · 1⤊ 1⤋
5^2 + b^2 = 13^2
b^2 = 13^2 - 5^2
b= sqrt(169-25)
b= sqrt(144)
b= 12
2006-09-14 05:47:01 · answer #8 · answered by kamakazi11b 2 · 0⤊ 0⤋
This problem can be solved by Pythagorean Theorem
C² = a² + b²
re arranged the formula to read
b² = c² - a²
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
b² = √(13)² - (5)²
b² = √169 - 25
b² = √144
b = 12
2006-09-14 08:30:08 · answer #9 · answered by SAMUEL D 7 · 0⤊ 0⤋
the question has been rightly answered....
suggest that people report lee as abusing the site...
2006-09-14 05:59:32 · answer #10 · answered by m s 3 · 0⤊ 0⤋