Calculate the area of the isosceles triangle HIJ

Question

anonymous · Answer

attachment

anonymous · Answer

|dw:1346449472635:dw|
determine h and x
the area will be h*x

anonymous · Answer

so 7xh?

anonymous · Answer

How do I find h?

anonymous · Answer

7 is right for x, but you will be 1/2 * x* h

to find h, you need to use pythagoras

anonymous · Answer

pythagorean theorem,
once you realize x=7

$$a^2+b^2=c^2$$

$$7^2+h^2=25^2$$

anonymous · Answer

$$\frac{1}{2} x*h$$
is the area of a triangle
because we're calculating the area of 2 triangles, we can multiply it by 2 thus getting rid of the 1/2
@rory16v

anonymous · Answer

Ok, just got my calculator one second

anonymous · Answer

sorry i didnt mean x, i meant the base. as in you dont need to use x to find the area of the original triangle but point taken

anonymous · Answer

hint- 7- 24-25 triangles are a pythagorean triple, although no one actually bothers to memorize this

3-4-5 are common

anonymous · Answer

So 49+h^2=625

subtract 49 from 625?

anonymous · Answer

$$h^2=625-49$$
$$h=\sqrt{625-49}$$

anonymous · Answer

24

anonymous · Answer

yes

anonymous · Answer

then multiple half of 7 (3.5) by 24?

anonymous · Answer

he was referring to the base
it would be either 
1/2base*h 
or x*h

anonymous · Answer

24x7 the?

anonymous · Answer

yes

anonymous · Answer

168

anonymous · Answer

okay thank you @completeidiot

anonymous · Answer

im going to assume you have a calculator and assume that is correct

anonymous · Answer

yes