Right triangle + Euclid's theorems - practice problems
Number of problems found: 56
- PQR - Euclid
Find the length of line segment PR - leg of the right triangle PQR. PQ=17 cm PS=15 cm QS=8 cm; Point S is the height touch point with a hypotenuse of the RQ. - Height of right RT
The right triangle ABC has a hypotenuse c 9 cm long and a part of the hypotenuse cb = 3 cm. How long is the height of this right triangle? - Euclid2
Right triangle ABC has a right angle at C, with side a = 29 and altitude from C to the hypotenuse h = 17. Calculate the perimeter of the triangle. - RT triangle and height
Calculate the remaining sides of the right triangle if we know side b = 4 cm long and height to side c h = 2.4 cm. - Proof PT
Can Pythagoras' theorem be easily proved using the Euclidean theorems? If so, do it. - Euclid1
The right triangle ABC has hypotenuse c = 20 cm. How large sections cut height hc=9 cm on the hypotenuse c? - Right triangle - ratio
The lengths of the legs of the right triangle ABC are in ratio b = 2:3. The hypotenuse is 10 cm long. Calculate the lengths of the legs of that triangle. - Medians in right triangle
It is given a right triangle, and angle C is 90 degrees. I know it medians t1 = 8 cm and median t2 = 12 cm. How to calculate the length of the sides? - Isosceles triangle 9
There is an isosceles triangle ABC where AB= AC. The perimeter is 64 cm, and the altitude is 24 cm. Find the area of the isosceles triangle. - MIT 1869
You know the length of parts 9 and 16 of the hypotenuse, at which a right triangle's hypotenuse is divided by a height. The task is to find the lengths of the sides of the triangle and the length of line x. This assignment was part of the Massachusetts In - Squares above sides
Two squares are constructed on two sides of the ABC triangle. The square area above the BC side is 25 cm². The height vc to the side AB is 3 cm long. The heel P of height vc divides the AB side in a 2:1 ratio. The AC side is longer than the BC side. Calcu - Free space in the garden
The grandfather's free space in the garden was in the shape of a rectangular triangle of 5 meters and 12 meters in length. He decided to divide it into two parts and the height of the hypotenuse. The smaller part creates a rock garden, for the larger sows - In a right triangle 13 The altitude to the hypotenuse of a right triangle is 4.8 cm. The two segments of the hypotenuse are in the ratio 4:3. Calculate the perimeter and area of the triangle.
- Hypotenuse, euclid
In a right-angled triangle, the hypotenuse has a length of 24 cm. The foot of the altitude to the hypotenuse divides it into two parts in a ratio of 2:4. What is the length of the altitude to the hypotenuse in cm? Calculate the perimeter of this right tri - Segments on the hypotenuse A right triangle ABC has a hypotenuse c = 26 cm. The altitude from C to the hypotenuse is h_c = 12 cm. What are the lengths of the two segments of the hypotenuse? What are the lengths of sides a and b? What are the angles at vertices A and B?
- Triangle KLM
In the rectangular triangle KLM, where |KL|=m is the hypotenuse (sketch it!). Find the length of the leg k and the height of triangle h if the hypotenuse's segments are known MK = 5 cm and ml = 15 cm. - Triangle height ratio
In the right-angled triangle ABC (AB is the hypotenuse), a : b = 24 : 7, and the height to the side c = 12.6 cm applies. Calculate the lengths of the sides of triangle ABC. - Hypotenuse height segments
We know the height of the hypotenuse h = 4 cm and the hypotenuse c = 19 cm in a right triangle. How to calculate the segments of legs - sections on the hypotenuse c1, c2 - Right Δ
A right triangle has one leg 54 cm long and a hypotenuse 90 cm long. Calculate the altitude from the right angle to the hypotenuse. - Sides of the triangle
Calculate triangle sides where its area is S = 84 cm² and a = x, b = x + 1, xc = x + 2
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