In this figure, the right angled triangles ABC and DEF overlap partially. In triangle ABC, AB = 8 cm and BC = 10 cm. In triangle DEF, DE = 12 cm and DF = 9 cm. Find the difference in the areas of the shaded parts! Tolong beserta caranyaa yaa
1. In this figure, the right angled triangles ABC and DEF overlap partially. In triangle ABC, AB = 8 cm and BC = 10 cm. In triangle DEF, DE = 12 cm and DF = 9 cm. Find the difference in the areas of the shaded parts! Tolong beserta caranyaa yaa
Area ∆ABC
A1 = ½ • AB • BC
A1 = ½ • 8 • 10
A1 = 40 cm²
Area ∆DEF
A2 = ½ • DE • DF
A2 = ½ • 12 • 9
A2 = 54 cm²
red area = x
purple area = 40 - x
blue area = 54 - x
the difference blue area and purple area
∆A = (54 - x) - (40 - x)
∆A = 14 cm² ← jwb
2. if triangle ABC and triangle DEF are similiar,the value of x + y=.... cm panjang a ke C = 18cm
DE = 5 cm (triple pythagoras)
[tex] \frac{bc}{ef} = \frac{ac}{df} \\ \frac{x}{3} = \frac{18}{4} \\ 4x = 54 \\ x = \frac{54}{4} \\ x = 13.5[/tex]
[tex] \frac{ab}{de} = \frac{ac}{df} \\ \frac{y}{5} = \frac{18}{4} \\ 4y = 90 \\ y = 22.5 [/tex]
jadi x + y = 13,5 + 22,5 = 36,0
semoga membantu
3. The figure below is made up of Triangle ABC and Triangle ACDABC:36 derajatACD:
Jawaban:
and the question?.....
4. (b) The area of triangle ABC is twice the area of triangle DBE.
Penjelasan dengan langkah-langkah:
[tex]area \: triangle \: abc = \frac{1}{2} \times base \times height \\ = \frac{1}{2} \times 8 \times 14 = 56 \: {cm}^{2} \\ area \: triangle \: abc \: = 2 \times area \: triangle \: dbe \\ 56 = 2 \times area \: triangle \: dbe \\ area \: triangle \: dbe \: = \frac{56}{2} = 28 \: {cm}^{2} [/tex]
5. triangle segitiga DEF besar sudut 90°,40°,50°merupakan segitiga?
Termasuk Segitiga Siku - Siku
> Dikarenakan ada 1 sudut yang besarnya 90°
Semoga Bermanfaat≡ penyelesaian :
segitiga DEF dengan besar sudut 90° , 40° , 50° merupakan segitiga siku siku.
karena, terdapat besar sudut 90° pada segitiga DEF tersebut. [tex]~[/tex]
6. segitiga ABC, AB = 7cm, BC= 7cm, AC = 12cm. Cari sudut dalam segitiga yang paling besar! dan jelaskan!At triangle ABC, AB =7cm, BC =7cm, AC =12cm. Find the largest interior angle from the triangle! and explain!
sudut ABC=B karena sudut B adalah sudut tumpul dan sudut lainnya adalah sudut lancip
7. Find ABC in this right-angled triangle.57Z ABC =
Jawab:
33°
Penjelasan dengan langkah-langkah:
<ABC +<CBA+<ACB=180°
Sudut ABC +57° + 90°=180°
SUDUT ABC=90°-57°
SUDUT ABC=33°
8. Medians BD and CE of triangle ABC are perpendicular, BD = 8, and CE = 12. The area of triangle ABC is.
The correct answer is 64
9. (1)Maing Unknown AnglesIn the following figure, triangle LMO is an equilateral triangle andtriangle MNO is an isosceles triangle. Find ZMNOLM MN12]In the following figure, triangle PQT is an equilateral triangleTriangle PRS is an isosceles triangle. ZQPR = RPS = SPT. Find ZPRSTRS
Jawaban:
120⁰80⁰detail cara dan jawabannya seperti di foto ya.
semangat belajar....
#bintang5dan<3yaaa;))
10. 1. find perimeter and area of right Triangle of ABC whit leght AB= 12cm BC= 5cm CA= 13cm2. right triangle which elbow is C whit leght AB= 15 AC=12 the area of triangle ABC is ....... cm²
No.1
Perimeter = 12 + 5 + 13 = 30 cm
Area = ½ × 12 × 5 = 30 cm²
No.2
Area = ½ × AC × BC
Area = ½ × 12 × √(15²-12²)
Area = 6 × √(225 - 144)
Area = 6 × √81
Area = 6 × 9
Area = 54 cm²
11. In rhombus ABCD,ECF is an isosceles triangle and AEF = 117° Find ABC
Jawaban:
the working and the answer are shown in the pic
semangat belajar;))
12. 4. Look at the following triangle! Every triangle holds the rule that the sum of the length of two sides is always greater than that of the third side. For the triangle ABC, AC + BC > AB. Form an inequality in x, and solve it!
Jawab:
x > 2
Penjelasan dengan langkah-langkah:
Dik:
AC = x - 3
AB = 12
CB = x + 11
inequality/pertidaksamaan:
AC + BC > AB
subtitusi nilai AC, AB, dan CB ke pertidaksamaan
(x-3) + (x+11) > 12
x - 3 + x + 11 > 12
2x + 8 > 12
2x > 12 - 8
2x > 4
x > 2
13. Triangle ABC is a right-angled triangle. Find
Triangle ABC is a right-angled triangle. Find
∠ABC = 90°
∠DBC = 25°
∠BAD = 60°
∠ABD = 70°
∠ADB = 55°
∠DCB = 32°
hope this helping :3
#learnwihbrainly
14. Triangle PQR and triangle DEF are similar. Which describes the relationship between the corresponding sides of the two triangles? * 2 points
Jawab:
PR/DE = 6/6
Penjelasan dengan langkah-langkah:
Sisi PR dan DE memiliki panjang yang sama, yaitu 6 cm
15. Triangle ADB is an equilateral triangle. BCD = 54º and AB isperpendicular to BC. Find ADC.
Penjelasan:
ABD = BDA = DAB
ABD = 180° / 3
ABD = BDA = 60°
ABC = ABD + DBC
DBC = ABC - ABD
DBC = 90° - 60°
DBC = 30°
BDC = 180° - 30° - 54°
BDC = 96°
ADC = ADB + BDC
ADC = 60° + 96°
ADC = 156°
16. In triangle ABC, BCcm, AC cm, and . Given that the area of the triangle is 6 cm', Work out the value for!!
Jawaban:
6×6×6=216Penjelasan dengan langkah-langkah:
maaf kalo salahJawaban:
1.6×6×6:216
Penjelasan dengan langkah-langkah:
semoga membantu
17. ABC is a triangle. Identify the height of triangle ABC when CB is its base. a. AB b. AF c. CD d. CE
Jawaban:
(D)
Note
Semoga membantu maaf kalo salah
18. Find the corresponding height for base AB of triangle ABC in the figure below.
Jawaban:
(1) and (3)
Penjelasan dengan langkah-langkah:
Corresponding height = garis tegak lurus
jadi, garis tegak lurus garis AB = (1) dan (3)
19. 3. in triangle abc, bccm, ac cm, and . given that the area of the triangle is 5 cm',work out the value of !
Jawaban:
terjemah::
pada segitiga abc, bccm, ac cm, dan . Diketahui luas segitiga adalah 5 cm',
tentukan nilai dari !
20. Triangle ABC has 2 equal sides and 2 equal angles. The equal angles are opposite the equal sides, you call this a/ana. right angled triangleb. isosceles trianglec. equilateral triangled. scalene triangle
Jawab:
b. isosceles triangle
Penjelasan dengan langkah-langkah:
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