Question

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

Answer 1

• This is Right Angled Triangle.

• 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 = √(25 - 16 )}`

`{ \longrightarrow \sf \qquad \: AB = √(9 )}`

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

Therefore,

• The length of the third side is 3 .