the base of an isosceles isosceles triangle is half that two equal sides the perimeter of triangle is 30 cm what is length of each side of the triangle
Answers
Answer:
Answer:
Area
=
48
c
m
2
Explanation:
Since an isosceles triangle has two equal sides, if the triangle is split in half vertically, the length of the base on each side is:
12
c
m
÷
2
=
6
c
m
We can then use the Pythagorean theorem to find the height of the triangle.
The formula for the Pythagorean theorem is:
a
2
+
b
2
=
c
2
To solve for the height, substitute your known values into the equation and solve for
a
:
where:
a
= height
b
= base
c
= hypotenuse
a
2
+
b
2
=
c
2
a
2
=
c
2
−
b
2
a
2
=
(
10
)
2
−
(
6
)
2
a
2
=
(
100
)
−
(
36
)
a
2
=
64
a
=
√
64
a
=
8
Now that we have our known values, substitute the following into the formula for area of a triangle:
b
a
s
e
=
12
c
m
h
e
i
g
h
t
=
8
c
m
A
r
e
a
=
b
a
s
e
⋅
h
e
i
g
h
t
2
A
r
e
a
=
(
12
)
⋅
(
8
)
2
A
r
e
a
=
96
2
A
r
e
a
=
48
∴
, the area is
48
c
m
2
.
Answer:
Explanation:let side be x
So, side1=side2=x
Side 3 is half of side1= x\2
So,
x+x+x\2=30
By L. C. M.
2x\2+2x/2+x/2=30
2x+2x+x=30multiplied by 2
5x=60
x=60/5
x=12=side1=side 2
side 3= x/2=12/2=6
All in cm