Question

can anybody please help me with this?

Answer 1

Area=b*a. The b stands for the base and the a stands for the altitude or the height.

Answer 2

so 130 is the correct answer?

Answer 3

there are several ways you could work this out, you have two triangles.

an area of a triangle is:

1/2 x base x height

so of the big triangles we could work out the height using,

a^2 + b^2 = c^2

so,

5^2 + b^2 = 13^2

therefore

b = sqrt(13^2-5^2)

b = 12

so the height of the larger triangles is 12

Answer 4

so, we can work out the area of the two larger triangles:

0.5 x 10 x 12 =60

Answer 5

now we can use trig to find angles and lengths of other sides

Answer 6

so looking at the smaller triangles;

we know we have a right angle of 90 degrees right.

Answer 7

we will find the angle adjacent to the 13 easy to reference

Answer 8

will will use tan function:

tan = opposite / adjacent

so we can use inverse tan (5/12)

which gives:

do u have a calculator there I dont

Answer 9

= 22.61 degrees

Answer 10

so that is the angle we need to use.

so from further trig. we can calculate the other unknown sides of the smaller triangles

Answer 11

we will calc the height as it will give us the answer quicker,

so to find the height:

we will use opp / adj

tan^-1(5/unknown)

rearrange the eqn use the angle:

so,

the height is, 2,08

so half of base x height =

0.5 x 5 x 2.08 = 5.2 ????????? maybe I am not sure I have no calculator