Secondary III • 6mo.
Hi! I have a question pertaining to Secondary 3 math. My question is: A right isosceles triangle has a hypotenuse of 24 mm. How do I find the perimeter of said triangle, and what is the exact definition of a hypotenuse?
Explanation from Alloprof
This Explanation was submitted by a member of the Alloprof team.
Salut!
The hypotenuse of a right triangle is the longest side of the triangle. It is also the side opposite the right angle.
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If you have an isosceles triangle with a hypotenuse of 24 mm, you can find the length of the legs, which are the other two sides of the right triangle, using the Pythagorean theorem.
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Since the triangle is isosceles, then both legs are the same length. Thus, we have the following equation:
$$x^2+x^2=24^2$$
So you can solve this equation to find x, the length of a leg.
I'll let you do the math. If you have any other questions, we are here! :)