Answer:
26.1miles
Step-by-step explanation:
If three cities A, B and C form a right triangle on a map, and the Cities B and C are the furthest apart, then the distance between cities B and C will be the hypotenuse of the triangle.
If cities A and B are 14 miles apart, then |AB| = 14miles
Also if cities A and C are 22 miles apart, then |AC| = 22miles.
To get |BC| which is the distance between cities B and C, we will use the Pythagoras theorem.
|BC|² = |AB|² + |AC|²
|BC|² = 14²+22²
|BC|² = 196+484
|BC|² = 680
|BC| = √680
|BC| = 26.1miles
This means that cities B and C are 26.1miles apart
If signs are different you subtract. So 2.5- -1.25 equals 1.25 and keep the sign of the biggest number
Answer:
Yes, Mina is correct
Step-by-step explanation:
Let the triangles be A and B
Given
Triangle A:
Triangle B:
Required
Is Mina's claim correct?
First, we calculate the third angle in both triangles.
For A:
For B:
For triangle A, the angles are: 34, 57 and 89
For triangle B, the angles are: 34, 57 and 89
<em>Since both triangles have the same angles, then by the postulate of AAA (Angle-Angle-Angle), the triangles are similar.</em>
Answer:
? = 30
Step-by-step explanation:
If the triangles are similar, then the only way I see this working is the sides measuring 63 and 54 are corresponding. The sides measuring 56 and 48 are corresponding. That leaves the sides measuring 35 and ? corresponding.
Set up a proportion.
63/54 = 35/?
63? = 54 * 35
63? = 1890
? = 30
x = -52 4/17
the full answer in attachments
