Question

Find the area of an isosceles triangle with two equal sides 2 cm and an unequal side of length 3 cm

Answer 1

HEYA BUDDY!!!



HERE IS YOUR ANSWER,

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:

3 cm ÷ 2 = 3/2 cm

We can then use the Pythagorean theorem to find the height of the triangle.

The formula for the Pythagorean theorem is:

a^2 + 1b^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

a2 + b2=c2
a2 = c2−b2
a2 =( 2)^2 − (3/2)^2
a2 = (4) − (9/4)
a2 = 7/4
a = √(7/4)

Now that we have our known values, substitute the following into the formula for area of a triangle:

base = 3/2 cm
height = 7/2 cm

Are = base⋅height2Area=(2)⋅(7/4)Area = 7/2

∴, the area is 7/2 cm2.

HOPE IT HELPS YOU.

THANK YOU.