The area of the triangle is 14.1 square meters
<h3>How to determine the triangle area?</h3>The side lengths are given as:
5m, 6m and 9m
Calculate the semi-perimeter (s) using
s = (5 + 6 + 9)/2
Evaluate
s = 10
The area is then calculated as:
This gives
Evaluate the products
Evaluate the exponent
Area = 14.1
Hence, the area of the triangle is 14.1 square meters
Read more about areas at:
#SPJ1
Answer:
x ≈ 9.5 , y ≈ 15.3
Step-by-step explanation:
sin32° = =
( multiply both sides by 18 )
18 × sin32° = x , then
x ≈ 9.5 ( to the nearest tenth )
cos32° = =
( multiply both sides by 18 )
18 × cos32° = y , then
y ≈ 15.3 ( to the nearest tenth )
Answer:
x = 2√2
y = 2√6
Step-by-step explanation:
Consider the ratio of the two legs of the two smaller interior right triangles. (refer to attached diagrams for the triangles - I have outlined one in blue and the other in red)
These will be equal since the triangles are similar
shorter leg : longer leg
(blue triangle = red triangle)
⇒ x : 4 = 2 : x
⇒ x/4 = 2/x
⇒ x² = 8
⇒ x = √8
⇒ x = 2√2
Now we have x, we have the two legs of the right triangle with hypotenuse labelled y.
Using Pythagoras' Theorem a² + b² = c² (where a and b are the legs and c is the hypotenuse)
⇒ 4² + (2√2)² = y²
⇒ y² = 24
⇒ y = √24
⇒ y = 2√6
