Math, asked by dudeperfect4005, 1 year ago

In a right triangle abc angle /_ b =90 degree if ab =6cm, bc= 8cm ,find ac

Answers

Answered by ina11
2

ac = 10

ac= under root ab^2+bc^2

root(36+64)

root100

=10


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Answered by xItzKhushix
9

Solution:-

AC = 10 cm

Step-by-step explanation:

[Triangle ABC is a Right Angled Triangle.]

\sf\underline{\underline{Given:}}

  • Angle B = 90°
  • AB = 6cm
  • BC = 8cm.

\sf\underline{\underline{As \:we \:know:}}

Base = BC

perpendicular = AB

Hypotenuse = AC.

\sf\underline{\underline{To\: find:}}

  • Hypotenuse i.e AC by Pythagoras theorem

\sf\underline{\underline{Formula\: to \:be\: used:}}

\tt(Hypotenuse) {}^{2}  = (Base) {}^{2}  + (Perpendicular) {}^{2}

[Hypotenuse = AC]

\tt\bold{(AC) {}^{2}  = (BC) {}^{2}  + (AB) {}^{2}}

\tt\bold{(AC) {}^{2}  = 8 {}^{2}  + 6 {}^{2}}

\tt\bold{(AC) {}^{2} =64 + 36}

\tt\bold{(AC) {}^{2} = 100}

\tt\bold{AC =  \sqrt{100}  = 10}

Therefore, AC = 10.

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