Question

Find the value of x in the triangle shown below.
a. x=4
b.x=5
c.x=2
d.x=32

Answer 1

4√2

Explanation:

Using Pythagoras Theorem ,

`\implies h^2 = p^2 + b^2\\\\\implies 9^2 = x^2 + 7^2 \\\\\implies 81 = x^2 + 49 \\\\\implies x^2 = 81 - 49 \\\\\implies x^2 = 32 \\\\\implies \boxed{x = 4\sqrt2}`

Answer 2

Answer:
`\huge\mathfrak\pink{S} \huge\mathfrak\purple{o} \huge\mathfrak\blue{l} \huge\mathfrak\red{u} \huge\mathfrak\green{t} \huge\mathfrak\pink{i}\huge\mathfrak\purple{o}\huge\mathfrak\red{n}\huge\mathfrak\orange{➔}\` Pythagoras law:h²=p²+b²

9²=x²+7²

x²=81-49

x=√32 units