Question

The triangle ABC , right angled at A the length of the hypotenune is 25 m . If one leg is 7m long , find the other​

Answer 1

• Given

• ABC is a right angled triangle, right angled at A.
• Hypotenuse = 25 m
• Base = 7 m

• To find

• The other side (Perpendicular)

• Solution

By pythagoras theorem

⇒ H² = P² + B²

where,

• H = Hypotenuse
• P = Perpendicular
• B = Base

⇒ CB² = AC² + AB²

⇒ (25)² = AC² + (7)²

⇒ 625 = AC² + 49

⇒ 625 - 49 = AC²

⇒ 576 = AC²

⇒ √576 = AC

⇒ 24 = ± AC Reject - ve

⇒ AC = 24 cm

• The other side = 24 cm

Figure -

$\setlength{\unitlength}{1cm}\begin{picture}(6,5)\linethickness{.4mm}\put(1,1){\line(1,0){4.5}}\put(1,1){\line(0,1){3.5}}\qbezier(1,4.5)(1,4.5)(5.5,1)\put(-0.5,2.5){\large\bf 25~cm}\put(2.8,.3){\large\bf 7~cm}\put(1.02,1.02){\framebox(0.3,0.3)}\put(0.7,4.8){\large\bf C}\put(.8,.3){\large\bf A}\put(5.8,.3){\large\bf B}\end{picture}$