How do you compute the area and perimeter of a isosceles triangle with base of 11.3cm and height of 26cm?

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Answer 1 · 2015-10-18T22:35:01

#A=146.9 cm^2#

#P~=64.5cm#

If the base is 11.3 cm, the half base is #11.3/2=5.65 cm#
(see figure below ).

Using the Pythagorean Theorem, the two other sides are:

#a^2=5.65^2+26^2#

#a^2=707.9225#

#a=sqrt(707.9225)~=26.6 cm#

The perimeter is:

#P~=11.3+26.6+26.6~=64.5 cm#

The area is:

#A=(11.3xx26)/2=146.9 cm^2#
enter image source here