ABC is a triangle, right- angled at B . If AC = 5cm , BC = 3cm, find AB
Answers
Answer:
Given,
ABC is a right angle triangle,right angle is at B.
BC = 3cm
AC = 5cm
then,the length of side AB = ?
By Pythagoras theorem/Baudhyan theorem:In a right triangle, the length of the hypotenuse is equal to the sum of the squares of length of the other two sides.
{ac}^{2} = {ab}^{2} + {bc}^{2} ac
2
=ab
2
+bc
2
{5}^{2} = {ab}^{2} + {3}^{2} 5
2
=ab
2
+3
2
25 = {ab}^{2} + 925=ab
2
+9
25 - 9 = {ab}^{2} 25−9=ab
2
16 = {ab}^{2} 16=ab
2
ab = \sqrt{16} ab=
16
ab = 4cmab=4cm
Therefore the value of AB is 4cm.
Verification:
{5}^{2} = {4}^{2} + {3}^{2} 5
2
=4
2
+3
2
25 = 16 + 925=16+9
25 = 2525=25
Answer:
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Step-by-step explanation:
By Pythagoras theorem
(hypo)² = (side1) + (side2)
AC² = (AB)² + (BC)²
5² = (AB)²+(3)²
25 = AB²+9
AB²= 25-9
AB² = 16
AB = 4
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