Question

Determine the unknown measures of the triangle shown. Round to the nearest tenth, if necessary

Answer 1

I think the answer is even though im not sure but here it is anyway
x=20
y=40
z=60
can i get brainiest answer

Answer 2

Answer:

x = 25

y=16.3

z=73.7

Step-by-step explanation:

Given :

$AC=x\,,\,AB= 7 \,\,in.\,,\,BC=24\,\,in.$

$\angle A=z\,,\,\angle C=y$

To find : x, y and z

Solution:

Pythagoras theorem:

In right angled triangle, square of hypotenuse is equal to sum of squares of the remaining two sides .

Here, $\Delta ABC$ is right angled at B

On applying pythagoras theorem, we get

$AC^2=AB^2+BC^2\\x^2=24^2+7^2\\x^2=576+49\\x^2=625\\x=25$

Also, we know that $\tan \theta$ = perpendicular/ Base

$\tan A=\tan z=\frac{BC}{AB}=\frac{24}{7}\\\\\Rightarrow z=\arctan \left ( \frac{24}{7} \right )=73.7$

$\tan C=\tan y=\frac{AB}{BC}=\frac{7}{24}\\\\\Rightarrow y=\arctan \left ( \frac{7}{24} \right )=16.3$