Question

Find the area and perimeter of a right angled triangle with base 8 cm and hypotenuse 17 cm​

Answer 1

Given:

base = 8cm

hypotenuse = 17cm

We know that the area of a triangle is 1/2 x bh. But we only have base here. So let's find the height/altitude of this triangle using the Pythagoras Theorem.

Pythagoras Theorem : hypo² = base² + height²

We want to find the height here. So, let's make some tweaks to this equation.

height² = hypo² - base²

= h² = 17² - 8²

= h² = 289-64 = 225

∵ h = √225

h = 15cm

So now, we have all the measures we need for finding the area and perimeter of this triangle. Let's continue with our solving!

Area = 1/2 x bh

= 1/2 x 8 x 15

= 1/2 x 120

= 60

Area = 60cm²

Perimeter of a triangle = a + b + c

(basically means add all 3 sides.)

= base + hypo + height

= 8 + 15 + 17

= 40cm

Heya! Hope it was helpful. Pls mark brainliest if it helped.