Step-by-step explanation
The answer should be
X=12 cm
Y=20 cm
Z= 25 cm
Answers
Answer:
search-icon-header
Search for questions & chapters
search-icon-image
Class 10
>>Maths
>>Triangles
>>Pythagoras Theorem and its Converse
>>Sides of triangles are given below. Dete
Question
Bookmark
Sides of triangles are given below. Determine which of them are right triangles.In case of a right triangle, write the length of its hypotenuse.
(i) 7 cm,24 cm,25 cm
(ii) 3 cm,8 cm,6 cm
(iii) 50 cm,80 cm,100 cm
(iv) 13 cm,12 cm,5 cm
Medium
Solution
verified
Verified by Toppr
(i)
Since, (25)
2
=(7)
2
+(24)
2
⇒625=49+576⇒625=625
Hence, 7cm, 24cm and 25cm are the sides of Right Angled Triangle and its Hypotenuse is 25cm
(ii)
Since, (8)
2
=(3)
2
+(6)
2
⇒64
=45
Hence, 8cm, 6cm and 3cm do not form Right Angled Triangle.
(iii)
Since, (100)
2
=(50)
2
+(80)
2
⇒10000
=8900
Hence, 100cm, 50cm and 80cm do not form Right Angled Triangle.
(iv)
Since, (13)
2
=(12)
2
+(5)
2
⇒169=144+25⇒169=169
Hence, 13cm, 12cm and 5cm are the sides of Right Angled Triangle and its Hypotenuse is 13cm.
Step-by-step explanation:
give me brainliests answer