Question

Find the length of the third side. If necessary, round to the nearest tenth. 4 5

Answer 1

• This is Right Angled Triangle.

Solution :

• We'll solve this using the Pythagorean Theorem

Let,

• Let AB be Base.

• 4 be BC, where BC is the Perpendicular.

• 5 be AC, where AC is the Hypotenuse.

We know that,

${ \longrightarrow \bf \qquad \: (AB) {}^{2} +( BC) {}^{2} = (AC) {}^{2} }$

${ \longrightarrow \sf \qquad \: (AB) {}^{2} +( 4) {}^{2} = (5) {}^{2} }$

${ \longrightarrow \sf \qquad \: (AB) {}^{2} = (5) {}^{2} - ( 4) {}^{2} }$

${ \longrightarrow \sf \qquad \: AB = \sqrt{(5) {}^{2} - ( 4) {}^{2}} }$

${ \longrightarrow \sf \qquad \: AB = \sqrt{25 - 16 }}$

${ \longrightarrow \sf \qquad \: AB = \sqrt{9 }}$

${ \longrightarrow {\pmb {\bf\qquad \: AB = 3}}}$

Therefore,

• The length of the third side is 3 .