In a right triangle ABC, ∠=90°, AB=6cm, BC= 8cm, Find AC
Answers
Answer:
ΔABC is right-angled at B.Read more on Sarthaks.com - https://www.sarthaks.com/107828/in-a-right-triangle-abc-b-90-a-if-ab-6-cm-bc-8-cm-find-ac-b-if-ac-13-cm-bc-5-cm-find-ab
Step-by-step explanation:
AC2 = AB2 + BC2 AC2 = (6 cm)2 + (8 cm)2 AC2 = (36 + 64) cm2 =100 cm2 AC = (√100) cm = (√10x10) cm AC = 10 cm (b) ΔABC is right-angled at B. Therefore, by applying Pythagoras theorem, we obtain AC2 = AB2 + BC2 (13 cm)2 = (AB)2 + (5 cm)2 AB2 = (13 cm)2 − (5 cm)2 = (169 − 25) cm2 = 144 cm2 AB = (√144) cm = (√12x12) cm AB = 12 cmRead more on Sarthaks.com - https://www.sarthaks.com/107828/in-a-right-triangle-abc-b-90-a-if-ab-6-cm-bc-8-cm-find-ac-b-if-ac-13-cm-bc-5-cm-find-ab
hope this helps <3
We use the Pythagorean theorem so the answer is 10 cm