<h2>option b. 52, 48 and 20</h2>
Step-by-step explanation:
<u>let's solve:-</u>
- To test whether given this triangle is right triangle or not, we can use the Pythagorean Theorem .
soo
Pythagorean Theorem=
<h2>_____________________________________</h2>
Here:-
Putting values:-
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Answer:
8
Step-by-step explanation:
Since the entire triangle was translated, each point gets shifted 9 left and 3 up which does not alter the triangle measurements, so all sides and angles of triangle' is the same as the original.
Answer:
Equivalent factions
Step-by-step explanation:
Steps to simplifying fractions
Find the GCD (or HCF) of numerator and denominator
GCD of 89 and 56 is 1
Divide both the numerator and denominator by the GCD
89 ÷ 1
56 ÷ 1
Reduced fraction:
89
56
Equivalent fractions: 178/112 267/168 445/280 623/392
More fractions: 178/56 89/112 267/56 89/168 445/56 89/280 623/56 89/392
Answer:
(a) 4
(b) 2√3
(c) 60°
(d) 120°
Step-by-step explanation:
(a) The relationship between tangents and secants is ...
CB^2 = CD·CA
Filling in the given values, we find ...
CB^2 = 2·(2+6) = 16
CB = √16 = 4
The length of BC is 4 units.
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(b) Triangle ABC is a right triangle, so the sides of it satisfy the Pythagorean theorem.
CA^2 = CB^2 +AB^2
8^2 = 16 +AB^2
AB = √48 = 4√3
The radius is half the length of AB, so the radius is 2√3.
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(c) The measure of angle C can be determined from the cosine relation:
cos(C) = CB/CA = 4/8 = 1/2
C = arccos(1/2) = 60°
The measure of angle C is 60°.
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(d) Arc AD is intercepted by angle ABD, which has the same measure as angle C. Hence the measure of arc AD is twice the measure of angle C.
The measure of arc AD is 120°.
Answer:
yes
Step-by-step explanation:
