Question

In triangle ABC, angle B=90 degree, if AC =13 cm, BC= 5cm find AB

Answer 1

$\underline{\textsf{Given:}}$

$\textsf{In triangle ABC,}$

$\mathsf{\angle\,B=90^\circ,\,AC=13cm,\,BC=5cm}$

$\underline{\textsf{To find:}}$

$\textsf{Length of AB}$

$\underline{\textsf{Solution:}}$

$\underline{\mathsf{Pythagoras\;theorem:}}$

$\boxed{\begin{minipage}{8cm} \\\textsf{In a right angled triangle, square on the hypotenuse}\\\\\textsf{is equal to sum of the squares on the other two sides}\\ \end{minipage}}$

$\mathsf{In\;\triangle\,ABC,apply\;pythagoras\;theorem}$

$\mathsf{AC^2=AB^2+BC^2}$

$\mathsf{13^2=AB^2+5^2}$

$\mathsf{169-25=AB^2}$

$\mathsf{144=AB^2}$

$\mathsf{AB=\sqrt{144}}$

$\implies\boxed{\mathsf{AB=12\;cm}}$

$\underline{\textsf{Find more:}}$

In triangle ABC angle BAC is 90 degree seg BL and seg CM are medians of triangle ABC. Then prove that 4( BL²+CM²)= 5 BC²

https://brainly.in/question/7952713

BL and CM are medians of ABC right angled at A. Prove that BL2 + CM2 = BC2 + LM2

https://brainly.in/question/29562778

Answer 2

Answer:

5cm is your answer and my answer is correct