# Pythagorean theorem - 9th grade (14y) - math problems

#### Number of problems found: 524 Find the radius of the circle using the Pythagorean theorem where a=9, b=r, c= 6+r
• Acceleration 2 if a car traveling at a velocity of 80 m/s/south accelerated to a velocity of 100 m/s east in 5 seconds, what is the cars acceleration? using Pythagorean theorem
• Right triangle It is given a right triangle angle alpha of 90 degrees beta angle of 55 degrees c = 10 cm use Pythagorean theorem to calculate sides a and b
• Area of a rectangle Calculate the area of a rectangle with a diagonal of u = 12.5cm and a width of b = 3.5cm. Use the Pythagorean theorem.
• Proof PT Can you easily prove Pythagoras theorem using Euclidean theorems? If so, do it.
• Right triangle trigonometrics Calculate the size of the remaining sides and angles of a right triangle ABC if it is given: b = 10 cm; c = 20 cm; angle alpha = 60° and the angle beta = 30° (use the Pythagorean theorem and functions sine, cosine, tangent, cotangent)
• Q-Exam If tg α = 0.9, Calculating sin α, cos α, cotg α .
• Five-gon Calculate the side a, the circumference and the area of the regular 5-angle if Rop = 6cm.
• Circle On the circle k with diameter |MN| = 61 J lies point J. Line |MJ|=22. Calculate the length of a segment JN.
• Distance Calculate distance between two points X[18; 19] and W[20; 3].
• Three points Three points A (-3;-5) B (9;-10) and C (2;k) . AB=AC What is value of k?
• Distance Wha is the distance between the origin and the point (18; 22)?
• Right angle If a, b and c are two sides of a triangle ABC, a right angle in A, find the value on each missing side. If b=10, c=6
• Trigonometric functions In the right triangle is: ? Find the value of s and c: ? ?
• Logs The log has diameter 30 cm. What's largest beam with a rectangular cross-section can carve from it?
• Spruce height How tall was spruce that was cut at an altitude of 8m above the ground and the top landed at a distance of 15m from the heel of the tree?
• Distance problem A=(x, x) B=(1,4) Distance AB=√5, find x;
• Right Determine angles of the right triangle with the hypotenuse c and legs a, b, if: ?
• Distance between 2 points Find the distance between the points (7, -9), (-1, -9)
• Vertices of RT Show that the points P1 (5,0), P2 (2,1) & P3 (4,7) are the vertices of a right triangle.

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Pythagorean theorem is the base for the right triangle calculator.