Right-angled 80745

The area of a right-angled triangle KLM with a right angle at the vertex L is 60 mm square, and its hypotenuse k is 10 mm long. Triangles KLM and RST are similar. The similarity ratio is k=2.5. Calculate the area of triangle RST.

Correct answer:

S2 =  9.6 mm2

Step-by-step explanation:

S1=60 mm2 k=10 mm S1 = 2k m m=2 S1/k=2 60/10=12 mm  w=2.5  k:r= w l:s= w m:t= w  r=k/w=10/2.5=4 mm t=m/w=12/2.5=524=4.8 mm  S2=2r t=24 4.8=548=9.6=9.6 mm2   Verifying Solution:   S3=S1/w2=60/2.52=548=9.6 m2

Did you find an error or inaccuracy? Feel free to write us. Thank you!

Tips for related online calculators
Check out our ratio calculator.
Do you have a linear equation or system of equations and are looking for its solution? Or do you have a quadratic equation?
The Pythagorean theorem is the base for the right triangle calculator.
Do you want to convert time units like minutes to seconds?
See also our trigonometric triangle calculator.

You need to know the following knowledge to solve this word math problem:

We encourage you to watch this tutorial video on this math problem: video1   video2

Related math problems and questions: