Answer:
495cm^2
Explanation:
First of all get the total ratio which is (5+12+13)=30 then use it to find the length of each side that is to say
EACH SIDE RESPECTIVELY AS PER THE RATIO
side 1
(5/30) × 150cm = 25cm
base
(12/30) × 150cm = 60cm
side 2
(13/30) × 150cm = 65cm
My triangle will have one side 25cm, side one 65cm and the base 60cm then you are going to use pythagoras theorem to find out the height of the triangle using the formula
a^2 + b^2 = c^2
the height will be 'a', 25cm will be 'b' then inorder to create a right angle we will divide the baseinto two that is to say (60cm / 2= 30cm) therefore the 30cm will be 'c'
In conclusion
HEIGHT
= a^2 + (25cm)^2 = (30cm)^2
= a^2 + (25cm × 25cm) = (30cm × 30cm)
= a^2 + 625cm^2 = 900cm^2
= a^2 = 275cm^2
= √a^2 = √275cm^2
= a = 16.5cm
therefore the height is 16.5cm
AREA
Height = 16.5cm
Total base = 60cm
Area = 1/2 × basearea × height
= 1/2 × 60cm × 16.5cm
= 495cm^2