Answer :
if the sides (plural, meaning more than 1) and the base is 10
that means
2 sides=13 cm
base=10
since 2 sides equal legnths, isocolees
draw a line from the top angle, opposite the base side, perpendicular to the base
you will form 2 right triangles each with a base of 10/2=5 and a hypotonuse of 13 solve for other leg
a^2+b^2=c^2
c=hypotonuse=13
a=10=1 leg
b=mystery leg (height)
10^2+x^2=13^2
100+x^2=169
subtract 100 from both sides
x^2=69
take square root of both sides
x=√69
it would be safe to put √69 as the answe since it cannot be simplified into a whole number (about 8.3066238629181)
that means
2 sides=13 cm
base=10
since 2 sides equal legnths, isocolees
draw a line from the top angle, opposite the base side, perpendicular to the base
you will form 2 right triangles each with a base of 10/2=5 and a hypotonuse of 13 solve for other leg
a^2+b^2=c^2
c=hypotonuse=13
a=10=1 leg
b=mystery leg (height)
10^2+x^2=13^2
100+x^2=169
subtract 100 from both sides
x^2=69
take square root of both sides
x=√69
it would be safe to put √69 as the answe since it cannot be simplified into a whole number (about 8.3066238629181)
![View image apologiabiology](https://us-static.z-dn.net/files/d9b/c0296e80aa402b97db263267cef6b3a1.png)
because the sides are the same it is an isosceles triangle, therefore the altitude forms two right triangles and also bisects the base
Apply the Pythagorean Theorem
5^2 + h^2= 13^2
25+h^2= 169
h^2= 144
h=12
FYI there are familiar combinations for right triangles, might be worthwhile to check them out, it will save a lot of time.
Some examples are 3,4,5 / 5,12. 13 / 9,40,41 etc
Hope this helps
Apply the Pythagorean Theorem
5^2 + h^2= 13^2
25+h^2= 169
h^2= 144
h=12
FYI there are familiar combinations for right triangles, might be worthwhile to check them out, it will save a lot of time.
Some examples are 3,4,5 / 5,12. 13 / 9,40,41 etc
Hope this helps