Similarity

Are two right triangles similar to each other if the first one has an acute angle 70°, and the second one has an acute angle 20°?

Result

Yes

No

Step-by-step explanation:

▵ ABC: α=70° β=20° γ=90°
▵ A'B'C': α=20° β=70° γ=90°

Try another example

Showing 1 comment:

Math student

Calculate the length of the third side.

3 years ago  Like

Related math problems and questions:

• The triangles
  The triangles ABC and A'B'C 'are similar with a similarity coefficient of 2. The angles of the triangle ABC are alpha = 35°, beta = 48°. Determine the magnitudes of all angles of triangle A'B'C '.
• Two angles
  The triangles ABC and A'B'C 'are similar. In the ABC triangle, the two angles are 25° and 65°. Explain why in the triangle A'B'C 'is the sum of two angles of 90 degrees.
• Triangles
  Find out whether given sizes of the angles can be interior angles of a triangle: a) 23°10',84°30',72°20' b) 90°,41°33',48°37' c) 14°51',90°,75°49' d) 58°58',59°59',60°3'
• MO Z7–I–6 2021
  In the triangle ABC, point D lies on the AC side and point E on the BC side. The sizes of the angles ABD, BAE, CAE and CBD are 30°, 60°, 20° and 30°, respectively. Find the size of the AED angle.
• The triangles
  The triangles KLM and ABC are given, which are similar to each other. Calculate the lengths of the remaining sides of the triangle KLM, if the lengths of the sides are a = 7 b = 5.6 c = 4.9 k = 5
• Acute triangle
  In the acute triangle KLM, V is the intersection of its heights and X is the heel of height to the side KL. The axis of the angle XVL is parallel to the side LM and the angle MKL is 70°. What size are the KLM and KML angles?
• 3-bracket
  May be the largest angle in the triangle less than 20°?
• Clocks
  What distance will describe the tip of minute hand 6 cm long for 20 minutes when we know the starting position with finally enclose hands each other 120°?
• RWY
  Calculate the opposite direction of the runway 13. Runways are named by a number between 01 and 36, which is generally one tenth of the azimuth of the runway's heading in degrees: a runway numbered 09 points east (90°), runway 18 is south (180°), runway 2
• 3-bracket 3
  Two angles in a triangle are 90° and 60°. Has triangle at least two equal sides?
• Find the
  Find the third interior angle of the triangle ABC where: α = 48°, γ = 65°.
• Similarity coefficient
  The triangles ABC and A "B" C "are similar to the similarity coefficient 2. The sizes of the angles of the triangle ABC are α = 35° and β = 48°. Find the magnitudes of all angles of triangle A "B" C ".
• 3-bracket 2
  May be the smallest angle in the triangle greater than 70°?
• Length of the arc
  What is the length of the arc of a circle k (S, r=68mm), which belongs to a central angle of 78°?
• Similar triangles
  In the triangle DEF is DE = 21cm, EF = 14.7cm, DF = 28cm. The triangle D´E´F´ is similar to the triangle DEF. Calculate the lengths of the sides of the triangle D´E´F´ if the similarity coefficient is one-seventh.
• Gamma angle
  Find the magnitude of the gamma angle in triangle ABC if: α = 38° 56 ’and β = 47° 54’.
• Parallelogram
  In the parallelogram we know one internal angle 67°33`. Calculate the other internal angles.