Question

1. What is the value of x in the right triangle shown?​

Answer 1

15mm

Explanation:

Hypotenuse of a triangle^2 = a^2 + b^2

=> 17^2 mm = 8^2mm + x^2mm

=> 289mm = 64mm + x^2mm

=> 289mm - 64mm = x^2mm

=> 225mm = x^2mm

=> √225mm = x mm

=> 15mm = x

Hope you understood!!

Answer 2

15mm

Explanation:

Here, Pythagoras Theorem will be used, which states that,

(BASE)² + (HEIGHT)² = (HYPOTENUSE)²

• Base = x mm
• Height = 8 mm

• Hypotenuse = 17 mm

Putting the values accordingly,

(17)² = (8)² + (x)²

(x)² = (17)² - (8)²

(x)² = 225

x = 15 mm

Hope it helps :)