in a right trinagle abc angle B = 90 if Ac = 26 cm BC 10 cm Find AB
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Answer:
AB = root over(Ac square- BC square)
=root(26×26-10×10)
=root(676-100)
=root 576
= 24
Step-by-step explanation:
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Question~
- In a right triangle ABC angle B = 90, if AC = 26 cm, BC = 10 cm. Find AB.
Given :
- Angle B = 90°
- AC = 26 cm
- BC 10 cm
To find :
- AB
Solution :
⇒ Here, we are using Pythagoras theorem.
Hypotenuse = √(Base)² + (Height)
AC = √(AB)² + (BC)²
AB = √(AC)² - (BC)²
= √(26)² - (10)²
= √676 - 100
= √576
= 24 cm
- Therefore, AB is 24 cm.
✳ For better understanding, check the attachment given below.
Attachments:
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