Question:
30. The hypotenuse of an isosceles triangle is 10√2 cm. Find the length of the other side.
A.√2 cm
B. 10 cm
C. 20 cm
D. 22 cm
Answer:
B. 10 cm
SOLUTION:
An isosceles right triangle is also known as a 45-45-90 special triangle.
In this kind of Triangle, the hypotenuse is the product of the length of any leg and √2.
Mathematically, we can say,
hypotenuse = x√2
where,
x = side length of any leg, since they are equal (isosceles triangle)
from these equation, we can easily get the side Length of the other sides.
solve for x,
hypotenuse = x√2
10√2 = x√2
divide both sides by √2
x = 10
Hence the correct answer is letter B. 10 cm
