Question

If the leg of a triangle is 4 and the hypotenuse is 10 what is the number of the other leg

Answer 1

Answer:

$\LARGE{ \underline{\underline{ \sf{\pink{ Required\: answer:}}}}}$

Given - One leg of a triangle is 4

hypotenuse is 10

To find - Other leg

Solution -

Using Pythagoras Theorem

(Altitude)^2 + (base)^2 = (hypotenuse) ^2

(4)^2 + (x)^2 = (10)^2

(x)^2 = (10)^2 - (4)^2

(x)^2 = 100 - 16

x^2 = 84

x= root 84

x = 2 × root 3 × 7

x = 2 root 21