Question

What is the area of a right angled triangle whose perimeter is 36cm and whose base exceeds height by 3cm?

Answer 1

Answer:

Step-by-step explanation:a right angle triangle can be formed by using triplets, for example (3,4,5)

By Pythagoras theorem

Hypotenuse square = perpendicular square+base square

5^2=3^2 +4^2

Similarly if we multiply 3into the triplets (3,4,5) that is (3*3,3*4,3*5) we would get triplets (9,12,25)

The perimeter given is 36,

Base+ Hypotenuse +perpendicular

=9+12+25=36

Which satisfies the given perimeter.

Now we know that the area of a triangle is 1/2(base*height)

=1/2(9*12)=54

Area=54cm^2