By using congruence of two triangles AKC and CMA we proved that
AK = MC
Step-by-step explanation:
Lets revise the cases of congruence
- SSS ⇒ 3 sides in the 1st Δ ≅ 3 sides in the 2nd Δ
- SAS ⇒ 2 sides and including angle in the 1st Δ ≅ 2 sides and
including angle in the 2nd Δ
- ASA ⇒ 2 angles and the side whose joining them in the 1st Δ ≅ 2 angles and the side whose joining them in the 2nd Δ
- AAS ⇒ 2 angles and one side in the 1st Δ ≅ 2 angles
and one side in the 2nd Δ
- HL ⇒ hypotenuse leg of the 1st right Δ ≅ hypotenuse leg of the 2nd right Δ
In Δ ABC
∵ AB = BC
∴ Δ ABC is an isosceles triangle
∴ ∠BAC ≅ m∠BCA ⇒ base angles of isoscelesΔ
∵ AK ⊥ BC
∴ m∠AKC = 90°
∵ MC ⊥ AB
∴ m∠CMA = 90°
∴ ∠AKC ≅ ∠CMA
In the two Δs AKC and CMA
∵ ∠BAC ≅ m∠BCA
∵ ∠AKC ≅ ∠CMA
∵ AC ≅ CA
∴ Δ AKC and Δ CMA are congruent by AAS postulate
∴ AK ≅ CM
By using congruence of two triangles AKC and CMA we proved that
AK = MC
Learn more:
You can learn more about congruence in brainly.com/question/3202836
#LearnwithBrainly
Answer:
no triangle given try to use a = 1/2(b x h) for the area
Step-by-step explanation:
Complete question:
Kono divides The numerator and the denominator of 48 over 72 by the greatest common factor to simplify the fraction in one step by what number does he divide
Answer:
2/3
Step-by-step explanation:
Given the number : 48 / 72
Obtain the greatest common factor of 48 and 72
- - - - 48 - - - - 72
- 2-- 24 - - - - 36
- 2 - 12 - - - - - 18
- 2 - 6 - - - - - - 9
- 3 - 2 - - - - - - 3
The greatest common factor of 48 and 72 is hence (2 * 2 * 2 * 3) = 24
Hence, divide both the numerator and denominator by 24 ;
Numerator = 48/24 = 2
Denominator = 72 / 24 = 3
= 2/3
Answer:
1.375
Step-by-step explanation:
Answer:
if im correct i think the answer is y=1.25x-0.5
Step-by-step explanation:
