Pythagoras
Finding an Angle
Finding a Side
Word Problems
Solve the Triangle
100
The hypotenuse of a triangle with sides 3.8m and 4.9m.
What is 6.2m?
100
sin(A)=8.4/12.6
What is 41.8°?
100
sin(56°)=x/12
What is 9.9?
100
Determine to the nearest tenth, the length of the hypotenuse in triangle PQR, if ∠PQR=90°, side PQ is 12.7m and ∠PRQ=28°.
What is 27m?
100
In the right triangle ABC, ∠B=90°, AB=5.6m, BC=6.2m, and ∠C=42.1°. The remaining values are
What is AC=8.4m, ∠A=47.9°?
200
The side opposite the 90° angle is 16.7cm. Another side is 12cm. To the nearest tenth, the length of the other side is
What is 11.6cm?
200
cos(X)=0.1564
What is 81°?
200
In a right triangle, given an angle of 49° and a hypotenuse of 18.3m, the length of the adjacent side is
What is 12.0m?
200
If the string of a kite is 120m long, and the angle of elevation is 45°, calculate the height of the kite to the nearest metre.
What is 85m?
200
In right triangle GHI, ∠H=90°, ∠G=69°, and HI=21.4ft. Finish the triangle.
What is ∠I=21°, IG=22.9ft, GH=8.2ft?
300
In triangle ABC, ∠B=90° sin(C)=5.2/12. The remaining side length is
What is 10.8?
300
In a right triangle ABC, ∠A=90° and tan (B) = 3/4. To the nearest degree ∠B is
What is 37°?
300
Given an angle of 32°, the side across from it is 15m, and the hypotenuse is
What is 28.3m?
300
Matt is 1.74m tall and his shadow is 1.32m long. Determine the angle of elevation to the nearest degree.
What is 53°?
300
In a right triangle ABC, AC=15, AB=37, ∠ACB=90°. Solve.
What is BC=33.8, ∠B=23.9°, ∠A=66.1°?
400
Given right triangle ABC, ∠B=90° and BC is 1.1m. Length AB is 2 times √2. The remaining side length to the nearest metre is
What is 3m?
400
The longest side in right triangle CDE is 91mm. The side connecting ∠D to the right angle is 65mm. The measure of ∠D to the nearest tenth is
What is 44.4°?
400
In a right triangle FGH ∠G=90° and side GH=32.6mm. If ∠GHF is 1/6 of ∠FGH the length of FG is
What is 8.7mm?
400
From the top of a 32m lighthouse, a boat is observed at an angle of depression of 25°. Determine the distance from the boat to the base of the lighthouse to the nearest metre.
What is 69m?
400
In right triangle RST, RS=5.3, ∠RST=90°, and ∠RTS=34.4°. Solve.
What is ∠SRT=55.6°, ST=7.7, TR=9.3?
500
In right triangle PQR, ∠R=90° and PQ=3x+2. If RP=16m and QR=13, the value of x is
What is 6.2m?
500
Right triangle ABC has a perimeter of 30m. The hypotenuse is 13m. One of the sides is 2 times and 2 more than that of the remaining side. The measure of the three angles are
What is 90°, 67°, and 23°?
500
In right triangle ABC, ∠C=90°, AC=4√3m, and ∠B=23°, to the nearest tenth of a centimetre, the length of BC is
What is 1632.2cm?
500
From a height of 50m, a ranger observes the beginnings of two fires. One fire is due west at an angle of depression of 10°. The other fire is due east at an angle of depression of 5°. The distance between the two fires is
What is 855.1m?
500
In right triangle DEF, ∠F=90°, ∠E=32°, and DE=10. Solve the triangle. The perimeter multiplied by the sum of the angles=
What is ∠D=58°, EF=8.5, FD=5.3, and 4284?
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