In the figure below, AB//DE and AC:CE = 5:2. If the area of triangle ACB is 100 cm2, find the area of triangle ADE. Q4. C. D

Q: The cube shown has sides of length 13 cm. Find: H. G E а BD b the angle FDB. D A B

A: Using pythagorean formulaBC=132+132 =132 cmSo, diagonal of each side=132 cm

Q: A triangles form with Silence of 24cm,26cm, and 10 centimeters is a triangle a right triangle?

A: Given : The sides of the triangle are  24 cm, 26 cm and 10 cm.   To show : The  triangle with given…

Q: In the Figure, CB is a diameter of a circle with a radius of 2 cm and center O, A ABC is a right…

A: Figure :                             CB is the diameter;                              OB= 2 cm…

Q: 13 ft 12 ft R For the right triangle RST, what is the length of RS ? A B A² + B? = C? 10

A: To find the length of side RS of right triangle

Q: In the figure, side IJ of AHIJ is a diameter of circle A with length of 8 units, and AH is a radius…

A: Given Diameter IJ=8 units Then Radius=82=4 Therefore AH=4 units

Q: a) 3 сm 4 cm 5 сm

A: The formula for the Pythagoras theorem helps to validate the given statement. The formula for the…

Q: 23 In the figure, AC and OD intersect at B. If AC = 18 cm, BC = 4 cm and BD 2 cm, calculate (a) the…

A: For a right angle triangle from Pythagoras theorem we have,            base²+height²= hypotenuse²…

Q: 2. In the figure at the right, LA and LD are right angles, AB = 10 cm, CD = 4 cm, and DO = 3 cm.…

A:

Q: In the figure below, mL1=(x+44)° and mL2=3x°. Find the angle measures. 1 2)

A:

Q: SI 43. OI is inscribed in a right triangle ATUP. If IA = 10 and PU = 34, find the perimeter of T %3D…

A:

Q: The figure shows triangle ABC inscribed in circle D. If the measure of angle CBD = 44°, what is the…

A: Given ∠CBD=44°

Q: In ASTR, points E, F and D are midpoints. EF = 11 cm, DF = 9 cm and ED= 5.5 cm. a. Find SR b. Find…

A: Given that  The triangles  To find the following

Q: Find the area of triangle ABC given A = 24 degree10' , B = 120 degree 40' ,and a = 4.25 ft.

A: Consider the given information about the triangle A=24degree10°,and B=120degree40' and a=4.25ft Find…

Q: The two triangles shown are similar, ∆ABC ~ ∆DFE. Calculate the missing side lengths (x and y).…

A: here we have DE=1.58 FD=1.98 EF=1.4 AB=4.05 BC=y AC=x

Q: In circle E with m \angle DEF= 42m∠DEF=42 and DE=12DE=12 units, find the length of arc DF

A:

Q: The sides of the parallelogram are 8cm and 12cm, find the shorter diagonal and the area if the…

A: Given-  The sides of the parallelogram are 8cm and 12cm. To Find- The shorter diagonal and the area…

Q: 25. AABC is isosceles with the inscribed circle as shown. AB = BC = 12 ft and AC = 7 ft. Find AP and…

A: Given, A isosceles △ABC  Where  AB=BC = 12 ft AC = 7ft We have to find AP and BQ

Q: Ella calculated the missing side length of one of these triangles using the Pythagorean Theorem.…

A: We know that Pythagoras theorem can be apply only on right angle triangle and according to given…

Q: В D A

A: Topic = Triangles

Q: The figure shows triangle KLM inscribed in circle P. K fmZPLM = 43°, find mZLKM, in degrees. %3D…

A: we know that chords subtends an angle to the circle is half the subtends by it to the center so…

Q: Two angle measures in paralelogram MNRQ are shown. M (32x – 18) (25x + 10 ). R

A: Given query is to find indicated angles.

Q: In the diagram, WWX and XYZ are congruent equilateral triangles, and ZVXY is 80°. What is the…

A:

Q: In right triangle ABC, m/ BÁC = 90, AB=5, and BC = 8. What is mZABC? Round your answer to the…

A: In a right angle triangle ABC m∠BAC=90°, AB=5, BC=8 The figure for this is

Q: Figure ABCD is a rectangle. Segment AB is 6 cm long, segment BC is 8 cm long, and segment AC is 10…

A: area of the triangle with the help of the dimensions given in a question

Q: The area of a triangle with base length A and height B is

A:

Q: Triangle RST was dilated to create triangle R'ST, as shown on the coordinate grid below. Which…

A: In triangle RST  RT= 4 units In triangle R'S'T'  R'T' =10 units

Q: In AHIJ, the measure of ZJ=90°, HJ = 21, JI = 20, and IH = 29. What ratio represents the cosine of…

A: In ∆HIJ,the measure of ∠J=90°, HJ=21, JI=20 and IH=29.

Q: - In the figure below, DB and AC are diameters of circle P. The length of PB is Sunits. What is the…

A:

Q: The distance between Boats 2 and 3 is 50 miles. Given the image at below, determine the distance…

A:

Q: In right triangle ADE shown, AC = 12, CE = 10, and AB = 10. What is the length of DE? %3D 22 VII 5…

A: The given triangles has length, AC=12, CE=10 and AB=10

Q: Based on the triangle below, what is the length of DF?

A: As mentioned in the figure side EF and side DE are equal EF=DE Put values mentioned in the figure…

Q: R C A b B.

A: First construction two line. Then  a theorem is angle subtended by an arc at the centre is double…

Q: A student shaded part of circle V, as shown. 10 cm Which of the following is closest to the area of…

A: The radius of the circle is r = 10 cm To find the area of the shaded portion.

Q: In the obtuse-angled triangle KLM, LM = 6.1 cm, KM = 4.2 cm and KL^M = 42°. How do i find the area…

A: Topic- area of triangle

Q: The area of the triangle is 175.71 36 24 Find the included angle 0. degrees

A: Given, Area=175.71

Q: In the triangle below, suppose that m ZJ= (5x-8)°, m LK=(2x+4)°, and m LL=x°. Find the degree…

A:

Q: Consider the figure below, in which oc = OP = OB = 1, OA = x, and AP = y. y R P 1 A B Use similar…

A: From the ∆OAP and ∆QCO ⇒∠O=∠Q (alternate angles)⇒∠A=∠C (right angles)⇒∠P=∠O (remaining angle of ∆)…

Q: For the triangle shown, find the length AD. (Assume u = 14, v = 14, Zx = 10°, and Zy = 10°. AD = В D…

A:

Q: The circle has center O. Its radlus Is 9 m, and the central angle a measures 50°. What Is the area…

A: The solution for the above question is as shown below.

Q: In right triangle ABC, point O is the incenter, CD= 9" AC = 36", AB = 45 Find OD. 36 8.

A: Apply Pythagorean theorem, to find CB. CB=AB2-AC2=452-362=2025-1296=729=27 Therefore, CB=27''.

Q: In the circle shown, measure of angle HPL= 1/2( mHL+mJM). True or false?

A: measure of angle HPL= 1/2( mHL+mJM)

Q: Consider the figure below with angle BAC=65 degrees and side BC=12 inches, find the radius.

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Q: The area of ΔPQR is 24. If p = 6 and q = 8, find the possible measure(s) of angle R.

A:

Q: Use similar triangles to find CD.

A: The perpendicular to the hypotenuse will always divide the triangle into two triangle with the same…

Q: 3. A triangle has two sides which measure 15cm and 20cm with the angle between these sides measuring…

A:

Q: A triangle has side lengths of 8 cm, 9 cm, and 14 cm. OClassify it as acute, obtuse, or right. A.…

A: Ans (1) we have given side lengths of a triangle8 cm , 9 cm , 14 cm⇒ Let a = 8, B= 9, c=14⇒Adding…

Q: A triangle has side lengths of 10 in., 16 in., and 18 in. Classify it as acute, obtuse, or right. A.…

A: Let a, b and c  are the sides of a triangle.     Consider, 'c' as the longest side and 'a' and 'b'…

Q: Find the length of AB in circle O. B 21 cm A

A: A chord is a line segment that connects two points on a circle; let A and B be two points on a…

Q: In the figure below, PR and SR are tangent to circle O. R If OT = 11 cm and PR = 60 cm, what is the…

A:

Q: Consider right angle triangle LMN. L 8 M N. Which side is opposite ZMLN? 10

A: Consider right angle triangle LMN We have to find the opposite side of ∠MLN

Ratios

A ratio is a comparison between two numbers of the same kind. It represents how many times one number contains another. It also represents how small or large one number is compared to the other.

Trigonometric Ratios

Trigonometric ratios give values of trigonometric functions. It always deals with triangles that have one angle measuring 90 degrees. These triangles are right-angled. We take the ratio of sides of these triangles.