Answer :
Answer:
The area of triangle is 120 cm².
Step-by-step explanation:
First, you have to calculate the height of the triangle using Pythogorem Theorem :
[tex] {a}^{2} + {b}^{2} = {c}^{2} [/tex]
Let a = base = 10 cm,
Let b = height = h cm,
Let c = hypotenuse = 26 cm,
[tex] {10}^{2} + {h}^{2} = {26}^{2} [/tex]
[tex] {h}^{2} = {24}^{2} - {10}^{2} [/tex]
[tex] {h}^{2} = 576[/tex]
[tex]h = \sqrt{576} [/tex]
[tex]h = 24 \: cm[/tex]
We have found out that the height is 24 cm. Next, we have to use the area of triangle formula :
[tex]area = \frac{1}{2} \times base \times height[/tex]
Let base = 10cm,
Let height = 24cm,
[tex]area = \frac{1}{2} \times 10 \times 24[/tex]
[tex]area = \frac{1}{2} \times 240[/tex]
[tex]area = 120 \: {cm}^{2} [/tex]