Answer :

Answer:

missing side = 12.21

Step-by-step explanation:

let the missing side = c

according to Pythagoras theorem,

c² = a² + b²

as per given:

a = 7

b = 10

i.e.

c² = 7² + 10²

    = 49 + 100 = 149

c = √149 = 12.21

Step-by-step explanation:

you must have learned about Pythagoras in right-angled triangles :

c² = a² + b²

where c is the Hypotenuse (the baseline opposite of the 90° angle), and a and b are the other 2 sides (called the legs).

right-angled triangles just means that one angle in the triangle is 90° (called a right angle).

the little square symbol in the top angle tells us that here we have a right angle.

so, we can use the Pythagoras rule :

bottom² = 7² + 10² = 49 + 100 = 149

bottom = sqrt(149) = 12.20655562...

oh, and "sqrt" is short for square root.

and you do understand squaring a number and taking the square root of a number ?

a² = a × a (multiplying a number by itself)

sqrt(a) = b, so that b × b = b² = a