1.

ABC isa triangle right angledIf AB = 25cm andand AC= 7cmfind BC.1​

Answer»

Answer:

Step-by-step explanation:

Correct Question:-

ABC is a triangle, right angled at C. If AC = 7 CM AB = 25 cm find AB.

\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(.3,2.5){\large\bf 7}\put(2.8,.3){\large\bf ?}\put(1.02,1.02){\framebox(0.3,0.3)}\put(.7,4.8){\large\bf A}\put(.8,.3){\large\bf C}\put(5.8,.3){\large\bf B}\qbezier(4.5,1)(4.3,1.25)(4.6,1.7)\put(3.8,1.3){\large\bf $$}\end{picture}

Answer:-

We need to find out the value of Height.

Concept:-

Pythagoras Theorem

Let's Do!

We KNOW that the Pythagoras theorem states that the sum of the SQUARE of base and height of a right angle triangle is equal to square of its hypotenuse.

\sf{AC^2+CB^2=AB^2}

\sf{7^2+CB^2 = 25^2}

\sf{BC^2 = 625-49}

\sf{BC = 24 \ cm}

Note:-

  • The question was completely dependant on the Pythagoras Theorem.
  • hence, we should keep an eye on Prime FACTORISATION and calculations also.
  • Refer attachment if figure not visible.


Discussion

No Comment Found