Question

ABC is a triangle , right angled at C. If AB = 10cm and AC = 6cm, then the value of BC is

Answer 1

Step-by-step explanation:

i think this is the answer but I could be wrong

Answer 2

Given :

• ABC is a triangle in which AB = 10 cm , AC = 6 cm and a right angles at C .

To Find :

• Measure of BC .

Solution :

$\longmapsto\tt{AB=10\:cm}$

$\longmapsto\tt{AC=6\:cm}$

Diagram :

$\setlength{\unitlength}{1 cm}\begin{picture}(6,6)\put(2 , 2){\line(1, 1){2}}\put(4 , 2){\line(0 , 1){2}}\put(4 , 2){\line(-1 , 0){2}}\put(2,3.2){10 cm}\put(2.6,1.5){6 cm}\put(1.6,1.7){\bf{A}}\put(4.2,1.7){\bf{C}}\put(4,4.1){\bf{B}}\end{picture}$

Using Pythagoras Theorem :

$\longmapsto\tt\bf{{(AB)}^{2}={(AC)}^{2}+{(BC)}^{2}}$

$\longmapsto\tt{{(10)}^{2}={(6)}^{2}+{(BC)}^{2}}$

$\longmapsto\tt{100=36+{(BC)}^{2}}$

$\longmapsto\tt{100-36={(BC)}^{2}}$

$\longmapsto\tt{\sqrt{64}=BC}$

$\longmapsto\tt\bf{8\:cm=BC}$

So , The Measure of BC is 8 cm....