Find answers to your questions and expand your knowledge with IDNLearn.com. Get timely and accurate answers to your questions from our dedicated community of experts who are here to help you.
Sagot :
Answer:
- 30 units
Step-by-step explanation:
The ratio of sides in 45º-45º-90º triangle is:
- a : b : c = 1 : 1 : √2
If both a and b are 15√2, the hypotenuse is:
- c = 15√2*√2 = 15*2 = 30
Let's consider the given triangle be ∆ABC. First of all we must know the unique property of triangle 45° - 45° - 90°. In this the ratio of sides of the triangle is given by,
[tex]\implies[/tex] a : b : c = 1 : 1 : √2
Now as per your question elaborating it by placing values of sides in our ∆ABC,
Where,
- c = hypotenuse
- a & b = two sides
[tex]:\implies\sf{c = 15 \sqrt{2} \times \sqrt{2} }[/tex]
[tex]:\implies\sf{c = 15 \times \sqrt{2} \times \sqrt{2} }[/tex]
[tex]:\implies\sf{c = 15 \times 2}[/tex]
[tex]:\implies\sf{c = 30}[/tex]
- The length of hypotenuse is 30cm.

Your presence in our community is highly appreciated. Keep sharing your insights and solutions. Together, we can build a rich and valuable knowledge resource for everyone. Find precise solutions at IDNLearn.com. Thank you for trusting us with your queries, and we hope to see you again.