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(b) Triangle DEF has a right angle at E. The length of side DE is 4.2 mm, and the length of side DF is 6.6 mm. Find ∠DEF, giving your answer correct to the nearest degree. You may find it useful to sketch triangle DEF in your answer. Figure 6 shows triangle ABC, with all side lengths measured in centimeters. Find ∠ABC, giving your answer correct to the nearest degree.
Figure 6: Find the area of triangle ABC in Figure 6, giving your answer correct to the nearest square centimeter. Convert 989 to radians, leaving your answer in terms of π. Use your answer from part (d)(i) to find the area of a sector of a circle of radius 2.8 centimeters and angle 98°, giving your answer correct to two significant figures.
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03:08
(a) Figure 5 shows a sketch of a triangle, where all side lengths are measured in centimeters. Find the length of the side marked , giving your answer correct to one decimal place.14.4 cmFigure 5(b) Triangle DEF has a right angle at E. The length of side FE is 4.9 cm, and the length of side DF is 9.7 cm. Sketch the triangle and find FDE, giving your answer correct to the nearest degree. (c) Figure 6 shows the triangle ABC, with all side lengths measured in centimeters.16.5 cmA7.8 cm10.3 cmFigure 6(i) Find ABC, giving your answer correct to the nearest degree.(ii) Find the area of triangle ABC, giving your answer correct to the nearest square centimeter.Page 7 of 11(d)(i) Convert 54 to radians, leaving your answer in terms of π. (ii) Use your answer from part (d)(i) to find the area of a sector of a circle of radius 6.7 cm and angle 54, giving your answer correct to two significant figures.
01:26
‘mathematics Areas and perimeters A,B and € are points on a circle with AC as a diameter. ABC is a right- angled triangle. Work out the total area of the regions shaded in the diagram. Give your answer correct to 1 decimal place:I0 cm6cm8 cin32.460.854.518.34’
02:16
Use the given information to solve the triangle shown in the figure to the right.a=9.2, b=12.6 BCAcabQuestion content area bottomPart 1What is the length of side c?c=15.615.6 (Round to the nearest tenth as needed.)Part 2What are the unknown angles?A=enter your response here° (Round to the nearest degree as needed.)Part 3B=enter your response here° (Round to the nearest degree as needed.)
06:48
1. Draw and label the diagram.2. Define variable(s). Include units of measure. In quadrilateral ABCD, A=60, angle B has twice the measure ofangle A, C=135 , and angle D has one-third the measure of angleC. The side lengths are as follows: AB=4 ft ,BC=10 ft , CD=2 square root 6 ft and AD=(12+2 square root 3) ft .Find the area of the quadrilateral. Give exact area withoutany trig functions in your answer. When rounding, round youranswer to two decimal places.
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