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hram777 [196]
3 years ago
15

Find a area of right angle triangle with base 10cm and hypotenuse 26cm

Mathematics
1 answer:
Ivahew [28]3 years ago
7 0

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 :

{a}^{2}  +  {b}^{2}  =  {c}^{2}

Let a = base = 10 cm,

Let b = height = h cm,

Let c = hypotenuse = 26 cm,

{10}^{2}  +  {h}^{2}  =  {26}^{2}

{h}^{2}  =  {24}^{2}  -  {10}^{2}

{h}^{2}  = 576

h =  \sqrt{576}

h = 24 \: cm

We have found out that the height is 24 cm. Next, we have to use the area of triangle formula :

area =  \frac{1}{2}  \times base \times height

Let base = 10cm,

Let height = 24cm,

area =  \frac{1}{2}  \times 10 \times 24

area =  \frac{1}{2}  \times 240

area = 120 \:  {cm}^{2}

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