Question

Find the third side of each of the following right-angled triangles whose hypotenuses and
other side are
10 cm, 8 cm


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Answer 1

Answer:

The other side is 6cm.

Explanation:

Hypotenuse = 10cm

Base = 8cm

Altitude = x cm ( not given)

Using Pythagoras theorem,( hypotenuse)^2 = ( base) ^2 + (altitude)^2

(altitude)^2 = (hypotenuse)^2 - (base)^2

(x)^2 = (10)^2 - (8)^2

(x)^2 = 100 - 64

(x) ^2 = 36

x = √36

therefore, x =6cm ( altitude)