Question

the base of right angle triangle is 5m and hypotenuse is 13m find its area

Answer 1

$base = 5m \\ hypotenouse = 13m \\ by \: pythagores \: triplet \: we \: get \\ height = 12m \\ \\ therefore \: area \: of \: triangle \: = \frac{1}{2} \times base \times height \\ = \frac{1}{2} \times 12 \times 5 \\ = 6 \times 5 \\ = 30 {m}^{2}$

Answer 2

if base is 5 m and hypotenuse is 13 m then its perpendicular is the square root of 13^2-5^2= square root of 169-25= square root of 144= 12
now,
area of triangle is 1/2* base* height
= 1/2*5*12
= 1/2*60
= 30 m^2