If the longest side in a right triangle ABC is 13 cm and one side making a right angle is a 5cm, what is the length of the other side making a right angle?
and options are
1] 9cm
2] 12cm
3] 8cm
4] 10 cm
Answers
Answer:
2] 12cm
Step-by-step explanation:
by pythagorus theorum:-
a² + b² = c²
:- 5² + x² = 13²
=25 + x² = 169
x² = 144
x = √144
x = 12 cm
The answer is option 2] 12 cm
Explanation:
Let a, b, and c be the sides of the triangle
Given, that the sides of the triangle are
a = 5 cm
b = ?
c = 13 cm
According to Pythagoras theorem,
Hypotenuse rule of the right-angled triangle
a² + b² = c²
⇒ c² = 13 x 13
= 169
⇒ a² = 5 x 5
= 25
⇒ c² - a² = b²
⇒ 169 -25
b² = 144
b = √144
b = 12 cm
Hence, the length of the other side making a right angle is 12 cm.
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