Question

Find the area of this triangle

Answer 1

22.249 cm^2 (THIS IS ROUNDED)

Explanation:

to find the area we first need to find h using Pythagorean theorem

a^2+b^2=c^2

We need to isolate a^2 on one side

a^2+b^2=c^2

-b^2. -b^2

a^2=c^2-b^2

a^2=8^2-3^2

a^2=64-9

a^2=55

√. √

a=7.416

Now we multiply by 3 to find the area

7.416x3

About 22.249 cm^2

Hopes this helps

Answer 2

Answer: a is about 7.416, rounding to two significant digits, 7.4, to one significant digit, 7.

Explanation:

We will use the Pythagorean Theorem.

a²+b²=c²

c² is the longest side, so 8cm.

lets make the bottom side b², so 3cm

We are trying to find h, so let's make that a².

Applying the Theorem:

a²+3²=8²

--- a² + 9 = 64

subtract 9 from both sides.

-- a² = 55

Take the square root of both sides

a is about 7.416, rounding to two significant digits, 7.4, to one significant digit, 7.