Answer:
AC = 18.1 cm
Step-by-step explanation:
Construct a line from point B perpendicular to the line AD and mark it as E on line AD. Now you have a right triangle ABE with AB = 16 cm and AE = AD - BC
so AE = 11 cm - 4 cm = 7 cm
You can find BE by using Pythagorean theorem
BE^2 = AB^2 - AE^2
BE^2 = 16^2 - 7^2
BE^2 = 256 - 49
BE^2 = 207
BE = 14.4 cm
Draw a line from A to C, you have a right triangle ACD with AD = 11cm and CD = BE = 14.4 cm
Using Pythagorean theorem
AC^2 = AD^2 + CD^2
AC^2 = 11^2 + 207
AC^2 = 121 + 207
AC^2 = 328
AC = 18.1 cm
Step-by-step explanation:
angle A = angle D
angle C common angle
angle E = 180 - 63 - 52
5x = 65
x = 13deg
Topic: congruence and similarity
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1/4(8-4p) + 2p = 12
Use distributive property by multiplying 1/4 by each term inside parentheses:
2 - p + 2p =12
Combine like terms:
2 + p = 12
Subtract 2 from both sides:
P = 10
Answer: 14 units
Step-by-step explanation:
Similar triangles may or may not have congruent sides, but the ratio of the corresponding sides will always be congruent.
<u>(3) Corresponding sides of △MNP and △RST</u>
Given that △MNP ∼△RST.
This means that, the corresponding sides are:
- MN and RS
- MP and RT
- NP and ST
<u>(4) The equal measures</u>
Given that △ABC ∼△TUV
This means that, the corresponding angles are equal, but corresponding sides are not.
So, the equal measures are:
- (a). the measures of ∠A and ∠T
- (c). the ratios of the sides BC/UV and AC/TV
The unequal measure is:
- (b). the perimeters of the two triangles
<u>(c) Scale mapping</u>
The scale mapping is given as:

The above scale means that 1 inches on the scale represents 100 miles of the actual distance.
Take for instance, 5 inches would represent 500 miles.
500 is 5 times 100
Hence, the actual distance between two towns 100 times the map distance between the two towns
Read more about similar triangles at:
brainly.com/question/14285697