Question

What is the value of x in the triangle?

Answer 1

Answer:

Choice A

Step-by-step explanation:

Base = 10

Perpendicular = 10

Hypotenuse = x

On applying Pythagoras theorem:

$\rm \: B^2+P^2 = H^2$

• B = base
• P = perpendicular
• H = height

On substituting,

• $10 {}^{2} + 10 {}^{2} = x {}^{2}$

Simplifying,

• $100 + 100 = x {}^{2}$
• $20 0 = {x}^{2}$
• $\sqrt{200} = {x}^{}$
• $10 \sqrt{2} = x$

Hence,the value of x using Pythagoras theorem is 10√2.

Choice A

Answer 2

Answer:

A. 10√2

Step-by-step explanation:

formula to find hypotenuse:

a²=b²+c² when "a" is hypotenuse

a=√(b²+c²)

hypotenuse=

√[(10²)+(10²)]

=√(100+100)

=√200

=√100*√2

=10√2