c. in each of the following the length of a right angle triangle ABC are given find the length of the hypotenuse
1) a = 12 CM and b=5 cm
2) a =1.5 CM and b =2cm
3) a=60 CM and b=11cm
Answers
Answered by
0
Answer:
A
Step-by-step explanation:
△ ABC is a right-angled triangle.
By Pythagoras theorem,
AC
2
=BC
2
+AB
2
⇒13
2
=5
2
+AB
2
⇒AB
2
=−(5)
2
+13
2
⇒AB
2
=−25+169
⇒AB
2
=144
⇒AB=
144
⇒AB=12 cm.
Answered by
1
Answer:
1 = 13cm 2 = 2.5cm 3 = 61cm
Step-by-step explanation:
Rule = (Hypotenuse)^2 = (Side)^2 + (Side)^2
(1)
(Hypotenuse)^2 = (12)^2 + (5)^2
(Hypotenuse)^2 = 144 + 25
(Hypotenuse)^2 = 169
Hypotenuse = √ 169
Hypotenuse = 13cm
(2)
(Hypotenuse)^2 = (1.5)^2 + (2)^2
(Hypotenuse)^2 = 2.25 + 4
(Hypotenuse)^2 = 6.25
Hypotenuse = √6.25
Hypotenuse = 2.5cm
(3)
(Hypotenuse)^2 = (60)^2 + (11)^2
(Hypotenuse)^2 = 3600 + 121
(Hypotenuse)^2 = 3721
Hypotenuse = √3721
Hypotenuse = 61cm
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