Given ABC , DEF find the values of X and Y
2 answers:
Answer:
Step-by-step explanation:
triangle ABC and DEF are similar and will therefore have the same angles.
the sum of all the angles on ANY triangle will ALWAYS add up to 180°
To work out what y equals, we must first find out what ∠B equals.
∠B corresponds with ∠E therefore, we know that ∠B = 42°
As we already have ∠A, we can now calculate ∠C.
180 - 42 - 87 = 51
∴∠C = 51°
to calculate :
divide both sides by 3. the 3 on the left gets cancelled out and 51 becomes 17
to work out what equals, we know that ∠E = 42° and that ∠F = 51°
180 - 42 - 51 = 87
∠D = 87°
to calculate :
subtract 2 from both sides
divide both sides by 5
I hope this helps :-)
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Answer:
The area of the triangle is 18 square units.
Step-by-step explanation:
First, we determine the lengths of segments AB, BC and AC by Pythagorean Theorem:
AB
BC
AC
Now we determine the area of the triangle by Heron's formula:
(1)
(2)
Where:
- Area of the triangle.
- Semiparameter.
If we know that ,
and
, then the area of the triangle is:
The area of the triangle is 18 square units.