Question

Find x if the below triangle is right angled. [3 MARKS]

Answer 1

Properties : 1 Mark
Steps : 1 Mark
Result : 1 Mark

Suppose, the above triangle is right angled such that 10 is the longest side.
Then, according to Pythagoras's Theorem,
Base${}^2$ + Perpendicular${}^2$ = Hypotenuse${}^2$
Or, 16x${}^2$ + 12x${}^2$ = 10${}^2$
Or, 256x${}^2$ + 144x${}^2$ = 100
Or, 400x${}^2$ = 100
Or, x = $\sqrt{\frac{100}{400}}$ = 0.5