Question

Triangle ABC is  right angled at vertex A. Calculate the length of BC, if AB = 15 cm and AC = 20 cm.​

Answer 1

${\underline{\underline{\huge{\mathbb{\purple{GIVEN}}}}}}$

In ∆ABC is right angled triangle at vertex A.Length of AB= 15cm and AC = 20 cm.

${\underline{\underline{\huge{\mathbb{\purple{TO \ FIND}}}}}}$

Calculate the length of BC.

${\underline{\underline{\huge{\mathbb{\purple{THEOREM \ USED }}}}}}$

In the right angled triangle the square of the hypotenuse side is equal to the sum of squares of other two sides.\rightarrow\tt {hypo }^{2} = {height}^{2} + {base}^{2}

${\underline{\underline{\huge{\mathbb{\purple{SOLUTION}}}}}}$

Here vertex is A.

$\tt\therefore\: {BC}^{2} = {AB}^{2}$

$\tt \rightarrow{BC}^{2} = {15}^{2} + {20}^{2}$

$\tt \rightarrow \: {BC}^{2}$

$\rightarrow \tt \: {BC}^{2}$

$\tt \rightarrow \: {BC} = \sqrt{625}$

$\tt \rightarrow \fbox {\tt \blue{ BC = 25}}$

Hence,the Length of the BC is 25 cm.

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