Question

If the hypotenuse of a right triangle is 10 and one leg is 5 square root 3, then the area of the triangle is

a. 5
b. 25 square root 3
c. 25
d. 50 square root 3
e. 12.5 square root 3

please answer and explain

Answer 1

Use Pythagorean theorem to find other leg.

h^2 + b^2 = Hypotenuse^2

h^2 + (5√3)^2 = 100

Solve for h.

Area = 1/2 hb

Insert values and solve for area.

Answer 2

h^2 + 75 = 100
h^2 = 25
h = 5

5 x 5 square root 3 /2
=25 square root 3 /2
= 12.5 square root 3

answer e

right?

Answer 3

From the way you have your last equation written "square root 3 /2" Looks like √(3/2).

It should be written (25√3)/2. The brackets make the meaning clearer.

The square root sign (√) can be obtained by using "v" and "alt/option" keys simultaneously.

Otherwise, you are right.