what is the area of right angle triangle?

Question

if the triangle abc is 90 degree at b and ab=3, ac=5 then find the base and area of triangle?

Answer 1

Hi Ghar

Your description for the right triangle reads like a Pythagorean Triple where the legs of the triangle fit perfectly into the equation below

a² + b² = c²

If so

Let a = ab = 3

Let b = bc the base

Let c = ac = 5 the longest side or hypotenuse

Then

b² = c² - a²

To find b, the base take the square root

b = (c² - a²)^1/2

b = (25 - 9)^1/2

b = (16)^1/2

b = 4

Since the base is 4 and the area would be 1/2(bh)

Just plug in the numbers

Area = 1/2(3 * 4) = 6

I hope this is useful to your. If you have any questions please send me a message.