+0

# I dunno if I'm overthinking this triangle.

+1
45
8
+89

Find the area of the triangle below.

Isn't a triangle's area just supposed to BH/2. I dunno if I'm overthinking this or not so I just wanted to hear what y'all think?

May 28, 2021

#1
+32758
+1

You don't have the height of the triangle.....you only have the side lengths

are you familiar with Heron's formula ?   Use it to find the area of a triangle with only the 3 side lengths

May 28, 2021
#2
+89
0

I am. Let me do it real quick

tmatthews  May 28, 2021
#3
+89
+1

I got 65. Is that correct?

tmatthews  May 28, 2021
#4
+32758
+1

I think it is 60.....but here is another way.....it is an isocoles triangle ....break it into two right triangles then 1/2 b * h    for the two triangles and add them

ElectricPavlov  May 28, 2021
#5
+89
0

How did you find the height(5)?

tmatthews  May 28, 2021
edited by tmatthews  May 28, 2021
#6
+20
+1

Pyhatgorean Therom,

13^2 = 12^2 + x^2

169 = 144+x^2

x^2 = 25

x = 5

BuilderBoi  May 28, 2021
#7
+89
0

Thanks! I totally overlooked that.

tmatthews  May 28, 2021
#8
+1300
+3

A = 12[sqrt(132 - 122)]

May 28, 2021